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Finding the Third Proportional to 47,718,940 and 75,682,316

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Solution

The third proportional to 47,718,940 and 75,682,316 is: 120,032,275.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,718,940 : 75,682,316 = 75,682,316 : x
  2. Step 2: Convert to fraction form
    47,718,940/75,682,316 = 75,682,316/x
  3. Step 3: Cross multiply
    47,718,940x = 75,682,316 × 75,682,316
  4. Step 4: Simplify right side
    47,718,940x = 5,727,812,955,123,856
  5. Step 5: Solve for x
    x = 5,727,812,955,123,856/47,718,940
  6. Step 6: Final answer
    x = 120,032,275.55

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.