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Finding the Third Proportional to 32,691,828 and 69,368,646

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Solution

The third proportional to 32,691,828 and 69,368,646 is: 147,193,024.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,691,828 : 69,368,646 = 69,368,646 : x
  2. Step 2: Convert to fraction form
    32,691,828/69,368,646 = 69,368,646/x
  3. Step 3: Cross multiply
    32,691,828x = 69,368,646 × 69,368,646
  4. Step 4: Simplify right side
    32,691,828x = 4,812,009,047,873,316
  5. Step 5: Solve for x
    x = 4,812,009,047,873,316/32,691,828
  6. Step 6: Final answer
    x = 147,193,024.75

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.