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Finding the Third Proportional to 53,832,451.50 and 83,516,703.75

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Solution

The third proportional to 53,832,451.50 and 83,516,703.75 is: 129,569,425.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,832,451.50 : 83,516,703.75 = 83,516,703.75 : x
  2. Step 2: Convert to fraction form
    53,832,451.50/83,516,703.75 = 83,516,703.75/x
  3. Step 3: Cross multiply
    53,832,451.50x = 83,516,703.75 × 83,516,703.75
  4. Step 4: Simplify right side
    53,832,451.50x = 6,975,039,805,265,264
  5. Step 5: Solve for x
    x = 6,975,039,805,265,264/53,832,451.50
  6. Step 6: Final answer
    x = 129,569,425.34

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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.