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Finding the Third Proportional to 32,489,689.50 and 48,740,935.50

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Solution

The third proportional to 32,489,689.50 and 48,740,935.50 is: 73,121,006.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,489,689.50 : 48,740,935.50 = 48,740,935.50 : x
  2. Step 2: Convert to fraction form
    32,489,689.50/48,740,935.50 = 48,740,935.50/x
  3. Step 3: Cross multiply
    32,489,689.50x = 48,740,935.50 × 48,740,935.50
  4. Step 4: Simplify right side
    32,489,689.50x = 2,375,678,793,415,160
  5. Step 5: Solve for x
    x = 2,375,678,793,415,160/32,489,689.50
  6. Step 6: Final answer
    x = 73,121,006.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.