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Finding the Third Proportional to 3,881,130,516 and 8,442,275,229

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Solution

The third proportional to 3,881,130,516 and 8,442,275,229 is: 18,363,724,370.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,881,130,516 : 8,442,275,229 = 8,442,275,229 : x
  2. Step 2: Convert to fraction form
    3,881,130,516/8,442,275,229 = 8,442,275,229/x
  3. Step 3: Cross multiply
    3,881,130,516x = 8,442,275,229 × 8,442,275,229
  4. Step 4: Simplify right side
    3,881,130,516x = 71,272,011,042,187,001,856
  5. Step 5: Solve for x
    x = 71,272,011,042,187,001,856/3,881,130,516
  6. Step 6: Final answer
    x = 18,363,724,370.61

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.