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Finding the Third Proportional to 52,894,702 and 81,735,805.50

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Solution

The third proportional to 52,894,702 and 81,735,805.50 is: 126,302,666.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,894,702 : 81,735,805.50 = 81,735,805.50 : x
  2. Step 2: Convert to fraction form
    52,894,702/81,735,805.50 = 81,735,805.50/x
  3. Step 3: Cross multiply
    52,894,702x = 81,735,805.50 × 81,735,805.50
  4. Step 4: Simplify right side
    52,894,702x = 6,680,741,900,733,830
  5. Step 5: Solve for x
    x = 6,680,741,900,733,830/52,894,702
  6. Step 6: Final answer
    x = 126,302,666.39

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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.