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Finding the Third Proportional to 5,034,016,656 and 6,999,397,782

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Solution

The third proportional to 5,034,016,656 and 6,999,397,782 is: 9,732,103,141.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,034,016,656 : 6,999,397,782 = 6,999,397,782 : x
  2. Step 2: Convert to fraction form
    5,034,016,656/6,999,397,782 = 6,999,397,782/x
  3. Step 3: Cross multiply
    5,034,016,656x = 6,999,397,782 × 6,999,397,782
  4. Step 4: Simplify right side
    5,034,016,656x = 48,991,569,310,666,522,624
  5. Step 5: Solve for x
    x = 48,991,569,310,666,522,624/5,034,016,656
  6. Step 6: Final answer
    x = 9,732,103,141.19

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.