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Finding the Third Proportional to 27,377,616 and 38,277,864

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Solution

The third proportional to 27,377,616 and 38,277,864 is: 53,517,986.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,377,616 : 38,277,864 = 38,277,864 : x
  2. Step 2: Convert to fraction form
    27,377,616/38,277,864 = 38,277,864/x
  3. Step 3: Cross multiply
    27,377,616x = 38,277,864 × 38,277,864
  4. Step 4: Simplify right side
    27,377,616x = 1,465,194,872,402,496
  5. Step 5: Solve for x
    x = 1,465,194,872,402,496/27,377,616
  6. Step 6: Final answer
    x = 53,517,986.10

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.