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Finding the Third Proportional to 944,756,903 and 1,329,846,163

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Solution

The third proportional to 944,756,903 and 1,329,846,163 is: 1,871,900,392.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    944,756,903 : 1,329,846,163 = 1,329,846,163 : x
  2. Step 2: Convert to fraction form
    944,756,903/1,329,846,163 = 1,329,846,163/x
  3. Step 3: Cross multiply
    944,756,903x = 1,329,846,163 × 1,329,846,163
  4. Step 4: Simplify right side
    944,756,903x = 1,768,490,817,245,822,464
  5. Step 5: Solve for x
    x = 1,768,490,817,245,822,464/944,756,903
  6. Step 6: Final answer
    x = 1,871,900,392.19

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.