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Finding the Third Proportional to 48,354,747 and 74,413,566

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Solution

The third proportional to 48,354,747 and 74,413,566 is: 114,515,722.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,354,747 : 74,413,566 = 74,413,566 : x
  2. Step 2: Convert to fraction form
    48,354,747/74,413,566 = 74,413,566/x
  3. Step 3: Cross multiply
    48,354,747x = 74,413,566 × 74,413,566
  4. Step 4: Simplify right side
    48,354,747x = 5,537,378,804,836,356
  5. Step 5: Solve for x
    x = 5,537,378,804,836,356/48,354,747
  6. Step 6: Final answer
    x = 114,515,722.83

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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.