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Finding the Third Proportional to 2,532,587,286 and 5,501,145,216

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Solution

The third proportional to 2,532,587,286 and 5,501,145,216 is: 11,949,281,612.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,532,587,286 : 5,501,145,216 = 5,501,145,216 : x
  2. Step 2: Convert to fraction form
    2,532,587,286/5,501,145,216 = 5,501,145,216/x
  3. Step 3: Cross multiply
    2,532,587,286x = 5,501,145,216 × 5,501,145,216
  4. Step 4: Simplify right side
    2,532,587,286x = 30,262,598,687,519,686,656
  5. Step 5: Solve for x
    x = 30,262,598,687,519,686,656/2,532,587,286
  6. Step 6: Final answer
    x = 11,949,281,612.05

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.