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Finding the Third Proportional to 5,034,016,664 and 6,999,397,794

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Solution

The third proportional to 5,034,016,664 and 6,999,397,794 is: 9,732,103,159.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,034,016,664 : 6,999,397,794 = 6,999,397,794 : x
  2. Step 2: Convert to fraction form
    5,034,016,664/6,999,397,794 = 6,999,397,794/x
  3. Step 3: Cross multiply
    5,034,016,664x = 6,999,397,794 × 6,999,397,794
  4. Step 4: Simplify right side
    5,034,016,664x = 48,991,569,478,652,067,840
  5. Step 5: Solve for x
    x = 48,991,569,478,652,067,840/5,034,016,664
  6. Step 6: Final answer
    x = 9,732,103,159.10

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Why These Related Problems?

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