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Finding the Third Proportional to 31,646,438 and 64,970,548

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Solution

The third proportional to 31,646,438 and 64,970,548 is: 133,385,378.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,646,438 : 64,970,548 = 64,970,548 : x
  2. Step 2: Convert to fraction form
    31,646,438/64,970,548 = 64,970,548/x
  3. Step 3: Cross multiply
    31,646,438x = 64,970,548 × 64,970,548
  4. Step 4: Simplify right side
    31,646,438x = 4,221,172,107,420,304
  5. Step 5: Solve for x
    x = 4,221,172,107,420,304/31,646,438
  6. Step 6: Final answer
    x = 133,385,378.39

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.