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Finding the Third Proportional to 32,721,582 and 71,189,142

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Solution

The third proportional to 32,721,582 and 71,189,142 is: 154,879,245.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,721,582 : 71,189,142 = 71,189,142 : x
  2. Step 2: Convert to fraction form
    32,721,582/71,189,142 = 71,189,142/x
  3. Step 3: Cross multiply
    32,721,582x = 71,189,142 × 71,189,142
  4. Step 4: Simplify right side
    32,721,582x = 5,067,893,938,696,164
  5. Step 5: Solve for x
    x = 5,067,893,938,696,164/32,721,582
  6. Step 6: Final answer
    x = 154,879,245.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.