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Finding the Third Proportional to 15,488,620,762 and 23,417,331,195

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Solution

The third proportional to 15,488,620,762 and 23,417,331,195 is: 35,404,792,248.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,488,620,762 : 23,417,331,195 = 23,417,331,195 : x
  2. Step 2: Convert to fraction form
    15,488,620,762/23,417,331,195 = 23,417,331,195/x
  3. Step 3: Cross multiply
    15,488,620,762x = 23,417,331,195 × 23,417,331,195
  4. Step 4: Simplify right side
    15,488,620,762x = 548,371,400,296,320,139,264
  5. Step 5: Solve for x
    x = 548,371,400,296,320,139,264/15,488,620,762
  6. Step 6: Final answer
    x = 35,404,792,248.62

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.