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Finding the Third Proportional to 23,729,753,184 and 32,315,873,448

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Solution

The third proportional to 23,729,753,184 and 32,315,873,448 is: 44,008,703,698.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,729,753,184 : 32,315,873,448 = 32,315,873,448 : x
  2. Step 2: Convert to fraction form
    23,729,753,184/32,315,873,448 = 32,315,873,448/x
  3. Step 3: Cross multiply
    23,729,753,184x = 32,315,873,448 × 32,315,873,448
  4. Step 4: Simplify right side
    23,729,753,184x = 1,044,315,676,707,151,413,248
  5. Step 5: Solve for x
    x = 1,044,315,676,707,151,413,248/23,729,753,184
  6. Step 6: Final answer
    x = 44,008,703,698.25

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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.