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Finding the Third Proportional to 2,387,674,596 and 5,138,146,248

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Solution

The third proportional to 2,387,674,596 and 5,138,146,248 is: 11,057,012,086.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,387,674,596 : 5,138,146,248 = 5,138,146,248 : x
  2. Step 2: Convert to fraction form
    2,387,674,596/5,138,146,248 = 5,138,146,248/x
  3. Step 3: Cross multiply
    2,387,674,596x = 5,138,146,248 × 5,138,146,248
  4. Step 4: Simplify right side
    2,387,674,596x = 26,400,546,865,836,478,464
  5. Step 5: Solve for x
    x = 26,400,546,865,836,478,464/2,387,674,596
  6. Step 6: Final answer
    x = 11,057,012,086.18

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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.