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Finding the Third Proportional to 849,467,853,423 and 1,820,101,464,234

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Solution

The third proportional to 849,467,853,423 and 1,820,101,464,234 is: 3,899,817,193,502.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    849,467,853,423 : 1,820,101,464,234 = 1,820,101,464,234 : x
  2. Step 2: Convert to fraction form
    849,467,853,423/1,820,101,464,234 = 1,820,101,464,234/x
  3. Step 3: Cross multiply
    849,467,853,423x = 1,820,101,464,234 × 1,820,101,464,234
  4. Step 4: Simplify right side
    849,467,853,423x = 3,312,769,340,106,750,858,100,736
  5. Step 5: Solve for x
    x = 3,312,769,340,106,750,858,100,736/849,467,853,423
  6. Step 6: Final answer
    x = 3,899,817,193,502.59

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.