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Finding the Third Proportional to 8,209,702,413 and 17,924,246,451

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Solution

The third proportional to 8,209,702,413 and 17,924,246,451 is: 39,134,014,203.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,209,702,413 : 17,924,246,451 = 17,924,246,451 : x
  2. Step 2: Convert to fraction form
    8,209,702,413/17,924,246,451 = 17,924,246,451/x
  3. Step 3: Cross multiply
    8,209,702,413x = 17,924,246,451 × 17,924,246,451
  4. Step 4: Simplify right side
    8,209,702,413x = 321,278,610,836,186,071,040
  5. Step 5: Solve for x
    x = 321,278,610,836,186,071,040/8,209,702,413
  6. Step 6: Final answer
    x = 39,134,014,203.42

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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.