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Finding the Third Proportional to 520,248,844.25 and 1,227,694,154.75

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Solution

The third proportional to 520,248,844.25 and 1,227,694,154.75 is: 2,897,138,464.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,248,844.25 : 1,227,694,154.75 = 1,227,694,154.75 : x
  2. Step 2: Convert to fraction form
    520,248,844.25/1,227,694,154.75 = 1,227,694,154.75/x
  3. Step 3: Cross multiply
    520,248,844.25x = 1,227,694,154.75 × 1,227,694,154.75
  4. Step 4: Simplify right side
    520,248,844.25x = 1,507,232,937,607,316,992
  5. Step 5: Solve for x
    x = 1,507,232,937,607,316,992/520,248,844.25
  6. Step 6: Final answer
    x = 2,897,138,464.15

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.