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Finding the Third Proportional to 663,812,256 and 959,011,524

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Solution

The third proportional to 663,812,256 and 959,011,524 is: 1,385,486,777.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    663,812,256 : 959,011,524 = 959,011,524 : x
  2. Step 2: Convert to fraction form
    663,812,256/959,011,524 = 959,011,524/x
  3. Step 3: Cross multiply
    663,812,256x = 959,011,524 × 959,011,524
  4. Step 4: Simplify right side
    663,812,256x = 919,703,103,164,802,560
  5. Step 5: Solve for x
    x = 919,703,103,164,802,560/663,812,256
  6. Step 6: Final answer
    x = 1,385,486,777.10

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.