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Finding the Third Proportional to 19,431,562,799 and 29,854,448,643

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Solution

The third proportional to 19,431,562,799 and 29,854,448,643 is: 45,868,060,793.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,431,562,799 : 29,854,448,643 = 29,854,448,643 : x
  2. Step 2: Convert to fraction form
    19,431,562,799/29,854,448,643 = 29,854,448,643/x
  3. Step 3: Cross multiply
    19,431,562,799x = 29,854,448,643 × 29,854,448,643
  4. Step 4: Simplify right side
    19,431,562,799x = 891,288,103,777,524,514,816
  5. Step 5: Solve for x
    x = 891,288,103,777,524,514,816/19,431,562,799
  6. Step 6: Final answer
    x = 45,868,060,793.51

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.