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Finding the Third Proportional to 62,414,528 and 82,817,409

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Solution

The third proportional to 62,414,528 and 82,817,409 is: 109,889,851.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,414,528 : 82,817,409 = 82,817,409 : x
  2. Step 2: Convert to fraction form
    62,414,528/82,817,409 = 82,817,409/x
  3. Step 3: Cross multiply
    62,414,528x = 82,817,409 × 82,817,409
  4. Step 4: Simplify right side
    62,414,528x = 6,858,723,233,473,281
  5. Step 5: Solve for x
    x = 6,858,723,233,473,281/62,414,528
  6. Step 6: Final answer
    x = 109,889,851.82

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.