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Finding the Third Proportional to 3,684,041,715 and 8,013,565,657

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Solution

The third proportional to 3,684,041,715 and 8,013,565,657 is: 17,431,190,932.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,684,041,715 : 8,013,565,657 = 8,013,565,657 : x
  2. Step 2: Convert to fraction form
    3,684,041,715/8,013,565,657 = 8,013,565,657/x
  3. Step 3: Cross multiply
    3,684,041,715x = 8,013,565,657 × 8,013,565,657
  4. Step 4: Simplify right side
    3,684,041,715x = 64,217,234,539,049,844,736
  5. Step 5: Solve for x
    x = 64,217,234,539,049,844,736/3,684,041,715
  6. Step 6: Final answer
    x = 17,431,190,932.93

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.