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Finding the Third Proportional to 1,178,633,898 and 2,566,522,716

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Solution

The third proportional to 1,178,633,898 and 2,566,522,716 is: 5,588,706,436.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,178,633,898 : 2,566,522,716 = 2,566,522,716 : x
  2. Step 2: Convert to fraction form
    1,178,633,898/2,566,522,716 = 2,566,522,716/x
  3. Step 3: Cross multiply
    1,178,633,898x = 2,566,522,716 × 2,566,522,716
  4. Step 4: Simplify right side
    1,178,633,898x = 6,587,038,851,744,016,384
  5. Step 5: Solve for x
    x = 6,587,038,851,744,016,384/1,178,633,898
  6. Step 6: Final answer
    x = 5,588,706,436.26

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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.