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Finding the Third Proportional to 5,186,102,569 and 11,158,773,084

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Solution

The third proportional to 5,186,102,569 and 11,158,773,084 is: 24,009,979,572.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,186,102,569 : 11,158,773,084 = 11,158,773,084 : x
  2. Step 2: Convert to fraction form
    5,186,102,569/11,158,773,084 = 11,158,773,084/x
  3. Step 3: Cross multiply
    5,186,102,569x = 11,158,773,084 × 11,158,773,084
  4. Step 4: Simplify right side
    5,186,102,569x = 124,518,216,740,202,872,832
  5. Step 5: Solve for x
    x = 124,518,216,740,202,872,832/5,186,102,569
  6. Step 6: Final answer
    x = 24,009,979,572.04

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.