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Finding the Third Proportional to 32,062,429.13 and 68,664,934.13

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Solution

The third proportional to 32,062,429.13 and 68,664,934.13 is: 147,052,899.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,062,429.13 : 68,664,934.13 = 68,664,934.13 : x
  2. Step 2: Convert to fraction form
    32,062,429.13/68,664,934.13 = 68,664,934.13/x
  3. Step 3: Cross multiply
    32,062,429.13x = 68,664,934.13 × 68,664,934.13
  4. Step 4: Simplify right side
    32,062,429.13x = 4,714,873,178,390,590
  5. Step 5: Solve for x
    x = 4,714,873,178,390,590/32,062,429.13
  6. Step 6: Final answer
    x = 147,052,899.83

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.