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Finding the Third Proportional to 7,909,917,712 and 10,771,957,792

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Solution

The third proportional to 7,909,917,712 and 10,771,957,792 is: 14,669,567,863.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,909,917,712 : 10,771,957,792 = 10,771,957,792 : x
  2. Step 2: Convert to fraction form
    7,909,917,712/10,771,957,792 = 10,771,957,792/x
  3. Step 3: Cross multiply
    7,909,917,712x = 10,771,957,792 × 10,771,957,792
  4. Step 4: Simplify right side
    7,909,917,712x = 116,035,074,672,629,514,240
  5. Step 5: Solve for x
    x = 116,035,074,672,629,514,240/7,909,917,712
  6. Step 6: Final answer
    x = 14,669,567,863.72

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.