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Finding the Third Proportional to 32,165,976 and 69,370,608

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Solution

The third proportional to 32,165,976 and 69,370,608 is: 149,607,810.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,165,976 : 69,370,608 = 69,370,608 : x
  2. Step 2: Convert to fraction form
    32,165,976/69,370,608 = 69,370,608/x
  3. Step 3: Cross multiply
    32,165,976x = 69,370,608 × 69,370,608
  4. Step 4: Simplify right side
    32,165,976x = 4,812,281,254,289,664
  5. Step 5: Solve for x
    x = 4,812,281,254,289,664/32,165,976
  6. Step 6: Final answer
    x = 149,607,810.88

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.