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Finding the Third Proportional to 32,078,042 and 74,851,350

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Solution

The third proportional to 32,078,042 and 74,851,350 is: 174,659,182.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,078,042 : 74,851,350 = 74,851,350 : x
  2. Step 2: Convert to fraction form
    32,078,042/74,851,350 = 74,851,350/x
  3. Step 3: Cross multiply
    32,078,042x = 74,851,350 × 74,851,350
  4. Step 4: Simplify right side
    32,078,042x = 5,602,724,596,822,500
  5. Step 5: Solve for x
    x = 5,602,724,596,822,500/32,078,042
  6. Step 6: Final answer
    x = 174,659,182.65

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These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.