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Finding the Third Proportional to 52,894,842.75 and 80,140,762.13

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Solution

The third proportional to 52,894,842.75 and 80,140,762.13 is: 121,420,944.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,894,842.75 : 80,140,762.13 = 80,140,762.13 : x
  2. Step 2: Convert to fraction form
    52,894,842.75/80,140,762.13 = 80,140,762.13/x
  3. Step 3: Cross multiply
    52,894,842.75x = 80,140,762.13 × 80,140,762.13
  4. Step 4: Simplify right side
    52,894,842.75x = 6,422,541,753,975,835
  5. Step 5: Solve for x
    x = 6,422,541,753,975,835/52,894,842.75
  6. Step 6: Final answer
    x = 121,420,944.27

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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.