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Finding the Third Proportional to 53,866,738.13 and 83,578,965.75

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Solution

The third proportional to 53,866,738.13 and 83,578,965.75 is: 129,680,091.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,866,738.13 : 83,578,965.75 = 83,578,965.75 : x
  2. Step 2: Convert to fraction form
    53,866,738.13/83,578,965.75 = 83,578,965.75/x
  3. Step 3: Cross multiply
    53,866,738.13x = 83,578,965.75 × 83,578,965.75
  4. Step 4: Simplify right side
    53,866,738.13x = 6,985,443,515,839,673
  5. Step 5: Solve for x
    x = 6,985,443,515,839,673/53,866,738.13
  6. Step 6: Final answer
    x = 129,680,091.26

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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.