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Finding the Third Proportional to 3,726,680,242 and 7,976,862,674

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Solution

The third proportional to 3,726,680,242 and 7,976,862,674 is: 17,074,268,246.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,726,680,242 : 7,976,862,674 = 7,976,862,674 : x
  2. Step 2: Convert to fraction form
    3,726,680,242/7,976,862,674 = 7,976,862,674/x
  3. Step 3: Cross multiply
    3,726,680,242x = 7,976,862,674 × 7,976,862,674
  4. Step 4: Simplify right side
    3,726,680,242x = 63,630,338,119,854,432,256
  5. Step 5: Solve for x
    x = 63,630,338,119,854,432,256/3,726,680,242
  6. Step 6: Final answer
    x = 17,074,268,246.24

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.