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Finding the Third Proportional to 423,857,431,282 and 651,499,260,923

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Solution

The third proportional to 423,857,431,282 and 651,499,260,923 is: 1,001,401,074,175.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,857,431,282 : 651,499,260,923 = 651,499,260,923 : x
  2. Step 2: Convert to fraction form
    423,857,431,282/651,499,260,923 = 651,499,260,923/x
  3. Step 3: Cross multiply
    423,857,431,282x = 651,499,260,923 × 651,499,260,923
  4. Step 4: Simplify right side
    423,857,431,282x = 424,451,286,983,215,255,912,448
  5. Step 5: Solve for x
    x = 424,451,286,983,215,255,912,448/423,857,431,282
  6. Step 6: Final answer
    x = 1,001,401,074,175.86

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.