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Finding the Third Proportional to 130,871,420 and 283,553,470

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Solution

The third proportional to 130,871,420 and 283,553,470 is: 614,363,092.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,871,420 : 283,553,470 = 283,553,470 : x
  2. Step 2: Convert to fraction form
    130,871,420/283,553,470 = 283,553,470/x
  3. Step 3: Cross multiply
    130,871,420x = 283,553,470 × 283,553,470
  4. Step 4: Simplify right side
    130,871,420x = 80,402,570,349,040,896
  5. Step 5: Solve for x
    x = 80,402,570,349,040,896/130,871,420
  6. Step 6: Final answer
    x = 614,363,092.79

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.