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Finding the Third Proportional to 4,069,832,720 and 8,815,782,160

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Solution

The third proportional to 4,069,832,720 and 8,815,782,160 is: 19,096,120,268.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,069,832,720 : 8,815,782,160 = 8,815,782,160 : x
  2. Step 2: Convert to fraction form
    4,069,832,720/8,815,782,160 = 8,815,782,160/x
  3. Step 3: Cross multiply
    4,069,832,720x = 8,815,782,160 × 8,815,782,160
  4. Step 4: Simplify right side
    4,069,832,720x = 77,718,015,092,574,273,536
  5. Step 5: Solve for x
    x = 77,718,015,092,574,273,536/4,069,832,720
  6. Step 6: Final answer
    x = 19,096,120,268.20

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.