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Finding the Third Proportional to 3,810,632,613 and 8,172,625,746

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Solution

The third proportional to 3,810,632,613 and 8,172,625,746 is: 17,527,748,898.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,810,632,613 : 8,172,625,746 = 8,172,625,746 : x
  2. Step 2: Convert to fraction form
    3,810,632,613/8,172,625,746 = 8,172,625,746/x
  3. Step 3: Cross multiply
    3,810,632,613x = 8,172,625,746 × 8,172,625,746
  4. Step 4: Simplify right side
    3,810,632,613x = 66,791,811,584,182,059,008
  5. Step 5: Solve for x
    x = 66,791,811,584,182,059,008/3,810,632,613
  6. Step 6: Final answer
    x = 17,527,748,898.26

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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.