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Finding the Third Proportional to 5,636,691 and 12,350,677.50

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Solution

The third proportional to 5,636,691 and 12,350,677.50 is: 27,061,840.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,636,691 : 12,350,677.50 = 12,350,677.50 : x
  2. Step 2: Convert to fraction form
    5,636,691/12,350,677.50 = 12,350,677.50/x
  3. Step 3: Cross multiply
    5,636,691x = 12,350,677.50 × 12,350,677.50
  4. Step 4: Simplify right side
    5,636,691x = 152,539,234,709,006.25
  5. Step 5: Solve for x
    x = 152,539,234,709,006.25/5,636,691
  6. Step 6: Final answer
    x = 27,061,840.84

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.