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Finding the Third Proportional to 52,892,547.75 and 80,138,764.13

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Solution

The third proportional to 52,892,547.75 and 80,138,764.13 is: 121,420,158.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,892,547.75 : 80,138,764.13 = 80,138,764.13 : x
  2. Step 2: Convert to fraction form
    52,892,547.75/80,138,764.13 = 80,138,764.13/x
  3. Step 3: Cross multiply
    52,892,547.75x = 80,138,764.13 × 80,138,764.13
  4. Step 4: Simplify right side
    52,892,547.75x = 6,422,221,515,482,387
  5. Step 5: Solve for x
    x = 6,422,221,515,482,387/52,892,547.75
  6. Step 6: Final answer
    x = 121,420,158.20

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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.