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Finding the Third Proportional to 20,277,051 and 31,417,449

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Solution

The third proportional to 20,277,051 and 31,417,449 is: 48,678,483.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,277,051 : 31,417,449 = 31,417,449 : x
  2. Step 2: Convert to fraction form
    20,277,051/31,417,449 = 31,417,449/x
  3. Step 3: Cross multiply
    20,277,051x = 31,417,449 × 31,417,449
  4. Step 4: Simplify right side
    20,277,051x = 987,056,101,667,601
  5. Step 5: Solve for x
    x = 987,056,101,667,601/20,277,051
  6. Step 6: Final answer
    x = 48,678,483.95

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.