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Finding the Third Proportional to 4,346,714,745 and 9,381,706,578

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Solution

The third proportional to 4,346,714,745 and 9,381,706,578 is: 20,248,952,019.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,346,714,745 : 9,381,706,578 = 9,381,706,578 : x
  2. Step 2: Convert to fraction form
    4,346,714,745/9,381,706,578 = 9,381,706,578/x
  3. Step 3: Cross multiply
    4,346,714,745x = 9,381,706,578 × 9,381,706,578
  4. Step 4: Simplify right side
    4,346,714,745x = 88,016,418,315,688,476,672
  5. Step 5: Solve for x
    x = 88,016,418,315,688,476,672/4,346,714,745
  6. Step 6: Final answer
    x = 20,248,952,019.90

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.