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Finding the Third Proportional to 5,202,093,748 and 7,925,098,230

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Solution

The third proportional to 5,202,093,748 and 7,925,098,230 is: 12,073,442,924.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,202,093,748 : 7,925,098,230 = 7,925,098,230 : x
  2. Step 2: Convert to fraction form
    5,202,093,748/7,925,098,230 = 7,925,098,230/x
  3. Step 3: Cross multiply
    5,202,093,748x = 7,925,098,230 × 7,925,098,230
  4. Step 4: Simplify right side
    5,202,093,748x = 62,807,181,955,149,135,872
  5. Step 5: Solve for x
    x = 62,807,181,955,149,135,872/5,202,093,748
  6. Step 6: Final answer
    x = 12,073,442,924.65

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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.