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Finding the Third Proportional to 9,929,811,744 and 21,603,002,034

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Solution

The third proportional to 9,929,811,744 and 21,603,002,034 is: 46,998,846,394.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,929,811,744 : 21,603,002,034 = 21,603,002,034 : x
  2. Step 2: Convert to fraction form
    9,929,811,744/21,603,002,034 = 21,603,002,034/x
  3. Step 3: Cross multiply
    9,929,811,744x = 21,603,002,034 × 21,603,002,034
  4. Step 4: Simplify right side
    9,929,811,744x = 466,689,696,881,008,115,712
  5. Step 5: Solve for x
    x = 466,689,696,881,008,115,712/9,929,811,744
  6. Step 6: Final answer
    x = 46,998,846,394.34

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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.