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Finding the Third Proportional to 65,486,894 and 142,591,822

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Solution

The third proportional to 65,486,894 and 142,591,822 is: 310,480,868.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,486,894 : 142,591,822 = 142,591,822 : x
  2. Step 2: Convert to fraction form
    65,486,894/142,591,822 = 142,591,822/x
  3. Step 3: Cross multiply
    65,486,894x = 142,591,822 × 142,591,822
  4. Step 4: Simplify right side
    65,486,894x = 20,332,427,701,279,684
  5. Step 5: Solve for x
    x = 20,332,427,701,279,684/65,486,894
  6. Step 6: Final answer
    x = 310,480,868.15

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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.