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Finding the Third Proportional to 11,851,606,259.16 and 17,123,524,414.89

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Solution

The third proportional to 11,851,606,259.16 and 17,123,524,414.89 is: 24,740,535,753.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,851,606,259.16 : 17,123,524,414.89 = 17,123,524,414.89 : x
  2. Step 2: Convert to fraction form
    11,851,606,259.16/17,123,524,414.89 = 17,123,524,414.89/x
  3. Step 3: Cross multiply
    11,851,606,259.16x = 17,123,524,414.89 × 17,123,524,414.89
  4. Step 4: Simplify right side
    11,851,606,259.16x = 293,215,088,387,436,642,304
  5. Step 5: Solve for x
    x = 293,215,088,387,436,642,304/11,851,606,259.16
  6. Step 6: Final answer
    x = 24,740,535,753.19

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1.5x scale

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.