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Finding the Third Proportional to 50,769,073.13 and 77,343,985.69

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Solution

The third proportional to 50,769,073.13 and 77,343,985.69 is: 117,829,453.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,769,073.13 : 77,343,985.69 = 77,343,985.69 : x
  2. Step 2: Convert to fraction form
    50,769,073.13/77,343,985.69 = 77,343,985.69/x
  3. Step 3: Cross multiply
    50,769,073.13x = 77,343,985.69 × 77,343,985.69
  4. Step 4: Simplify right side
    50,769,073.13x = 5,982,092,122,028,205
  5. Step 5: Solve for x
    x = 5,982,092,122,028,205/50,769,073.13
  6. Step 6: Final answer
    x = 117,829,453.13

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.