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Finding the Third Proportional to 31,646,380 and 64,970,432

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Solution

The third proportional to 31,646,380 and 64,970,432 is: 133,385,146.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,646,380 : 64,970,432 = 64,970,432 : x
  2. Step 2: Convert to fraction form
    31,646,380/64,970,432 = 64,970,432/x
  3. Step 3: Cross multiply
    31,646,380x = 64,970,432 × 64,970,432
  4. Step 4: Simplify right side
    31,646,380x = 4,221,157,034,266,624
  5. Step 5: Solve for x
    x = 4,221,157,034,266,624/31,646,380
  6. Step 6: Final answer
    x = 133,385,146.56

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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.