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Finding the Third Proportional to 10,493,221 and 15,439,771.50

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Solution

The third proportional to 10,493,221 and 15,439,771.50 is: 22,718,147.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,493,221 : 15,439,771.50 = 15,439,771.50 : x
  2. Step 2: Convert to fraction form
    10,493,221/15,439,771.50 = 15,439,771.50/x
  3. Step 3: Cross multiply
    10,493,221x = 15,439,771.50 × 15,439,771.50
  4. Step 4: Simplify right side
    10,493,221x = 238,386,543,972,212.25
  5. Step 5: Solve for x
    x = 238,386,543,972,212.25/10,493,221
  6. Step 6: Final answer
    x = 22,718,147.65

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.