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Finding the Third Proportional to 32,458,680 and 68,538,816

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Solution

The third proportional to 32,458,680 and 68,538,816 is: 144,724,594.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,458,680 : 68,538,816 = 68,538,816 : x
  2. Step 2: Convert to fraction form
    32,458,680/68,538,816 = 68,538,816/x
  3. Step 3: Cross multiply
    32,458,680x = 68,538,816 × 68,538,816
  4. Step 4: Simplify right side
    32,458,680x = 4,697,569,298,681,856
  5. Step 5: Solve for x
    x = 4,697,569,298,681,856/32,458,680
  6. Step 6: Final answer
    x = 144,724,594.43

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.