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Finding the Third Proportional to 53,896,432 and 82,843,566

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Solution

The third proportional to 53,896,432 and 82,843,566 is: 127,337,862.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,896,432 : 82,843,566 = 82,843,566 : x
  2. Step 2: Convert to fraction form
    53,896,432/82,843,566 = 82,843,566/x
  3. Step 3: Cross multiply
    53,896,432x = 82,843,566 × 82,843,566
  4. Step 4: Simplify right side
    53,896,432x = 6,863,056,427,596,356
  5. Step 5: Solve for x
    x = 6,863,056,427,596,356/53,896,432
  6. Step 6: Final answer
    x = 127,337,862.14

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.