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Finding the Third Proportional to 12,493,861.14 and 19,307,869.70

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Solution

The third proportional to 12,493,861.14 and 19,307,869.70 is: 29,838,160.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,493,861.14 : 19,307,869.70 = 19,307,869.70 : x
  2. Step 2: Convert to fraction form
    12,493,861.14/19,307,869.70 = 19,307,869.70/x
  3. Step 3: Cross multiply
    12,493,861.14x = 19,307,869.70 × 19,307,869.70
  4. Step 4: Simplify right side
    12,493,861.14x = 372,793,832,321,980.62
  5. Step 5: Solve for x
    x = 372,793,832,321,980.62/12,493,861.14
  6. Step 6: Final answer
    x = 29,838,160.38

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.