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Finding the Third Proportional to 32,689,359 and 68,766,691.50

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Solution

The third proportional to 32,689,359 and 68,766,691.50 is: 144,660,464.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,689,359 : 68,766,691.50 = 68,766,691.50 : x
  2. Step 2: Convert to fraction form
    32,689,359/68,766,691.50 = 68,766,691.50/x
  3. Step 3: Cross multiply
    32,689,359x = 68,766,691.50 × 68,766,691.50
  4. Step 4: Simplify right side
    32,689,359x = 4,728,857,859,856,172
  5. Step 5: Solve for x
    x = 4,728,857,859,856,172/32,689,359
  6. Step 6: Final answer
    x = 144,660,464.58

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.