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Finding the Third Proportional to 32,165,980 and 69,370,616

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Solution

The third proportional to 32,165,980 and 69,370,616 is: 149,607,826.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,165,980 : 69,370,616 = 69,370,616 : x
  2. Step 2: Convert to fraction form
    32,165,980/69,370,616 = 69,370,616/x
  3. Step 3: Cross multiply
    32,165,980x = 69,370,616 × 69,370,616
  4. Step 4: Simplify right side
    32,165,980x = 4,812,282,364,219,456
  5. Step 5: Solve for x
    x = 4,812,282,364,219,456/32,165,980
  6. Step 6: Final answer
    x = 149,607,826.79

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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.