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Finding the Third Proportional to 2,015,451,646 and 4,418,323,780

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Solution

The third proportional to 2,015,451,646 and 4,418,323,780 is: 9,685,960,496.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,015,451,646 : 4,418,323,780 = 4,418,323,780 : x
  2. Step 2: Convert to fraction form
    2,015,451,646/4,418,323,780 = 4,418,323,780/x
  3. Step 3: Cross multiply
    2,015,451,646x = 4,418,323,780 × 4,418,323,780
  4. Step 4: Simplify right side
    2,015,451,646x = 19,521,585,024,913,489,920
  5. Step 5: Solve for x
    x = 19,521,585,024,913,489,920/2,015,451,646
  6. Step 6: Final answer
    x = 9,685,960,496.08

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.