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Finding the Third Proportional to 3,332,453,812 and 7,166,430,465

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Solution

The third proportional to 3,332,453,812 and 7,166,430,465 is: 15,411,384,075.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,332,453,812 : 7,166,430,465 = 7,166,430,465 : x
  2. Step 2: Convert to fraction form
    3,332,453,812/7,166,430,465 = 7,166,430,465/x
  3. Step 3: Cross multiply
    3,332,453,812x = 7,166,430,465 × 7,166,430,465
  4. Step 4: Simplify right side
    3,332,453,812x = 51,357,725,609,680,117,760
  5. Step 5: Solve for x
    x = 51,357,725,609,680,117,760/3,332,453,812
  6. Step 6: Final answer
    x = 15,411,384,075.23

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.