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Finding the Third Proportional to 423,857,431,274 and 651,499,260,911

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Solution

The third proportional to 423,857,431,274 and 651,499,260,911 is: 1,001,401,074,157.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,857,431,274 : 651,499,260,911 = 651,499,260,911 : x
  2. Step 2: Convert to fraction form
    423,857,431,274/651,499,260,911 = 651,499,260,911/x
  3. Step 3: Cross multiply
    423,857,431,274x = 651,499,260,911 × 651,499,260,911
  4. Step 4: Simplify right side
    423,857,431,274x = 424,451,286,967,579,226,144,768
  5. Step 5: Solve for x
    x = 424,451,286,967,579,226,144,768/423,857,431,274
  6. Step 6: Final answer
    x = 1,001,401,074,157.87

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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.