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Finding the Third Proportional to 13,793,649.47 and 29,567,748.94

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Solution

The third proportional to 13,793,649.47 and 29,567,748.94 is: 63,380,744.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,793,649.47 : 29,567,748.94 = 29,567,748.94 : x
  2. Step 2: Convert to fraction form
    13,793,649.47/29,567,748.94 = 29,567,748.94/x
  3. Step 3: Cross multiply
    13,793,649.47x = 29,567,748.94 × 29,567,748.94
  4. Step 4: Simplify right side
    13,793,649.47x = 874,251,777,231,032.38
  5. Step 5: Solve for x
    x = 874,251,777,231,032.38/13,793,649.47
  6. Step 6: Final answer
    x = 63,380,744.83

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.