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Finding the Third Proportional to 19,431,562,803 and 29,854,448,649

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Solution

The third proportional to 19,431,562,803 and 29,854,448,649 is: 45,868,060,802.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,431,562,803 : 29,854,448,649 = 29,854,448,649 : x
  2. Step 2: Convert to fraction form
    19,431,562,803/29,854,448,649 = 29,854,448,649/x
  3. Step 3: Cross multiply
    19,431,562,803x = 29,854,448,649 × 29,854,448,649
  4. Step 4: Simplify right side
    19,431,562,803x = 891,288,104,135,777,976,320
  5. Step 5: Solve for x
    x = 891,288,104,135,777,976,320/19,431,562,803
  6. Step 6: Final answer
    x = 45,868,060,802.51

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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.