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Finding the Third Proportional to 3,482,490,934,911.40 and 7,576,403,332,310.40

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Solution

The third proportional to 3,482,490,934,911.40 and 7,576,403,332,310.40 is: 16,482,996,948,649.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,482,490,934,911.40 : 7,576,403,332,310.40 = 7,576,403,332,310.40 : x
  2. Step 2: Convert to fraction form
    3,482,490,934,911.40/7,576,403,332,310.40 = 7,576,403,332,310.40/x
  3. Step 3: Cross multiply
    3,482,490,934,911.40x = 7,576,403,332,310.40 × 7,576,403,332,310.40
  4. Step 4: Simplify right side
    3,482,490,934,911.40x = 57,401,887,453,844,136,624,390,144
  5. Step 5: Solve for x
    x = 57,401,887,453,844,136,624,390,144/3,482,490,934,911.40
  6. Step 6: Final answer
    x = 16,482,996,948,649.50

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.