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Finding the Third Proportional to 544,468,068 and 836,886,438

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Solution

The third proportional to 544,468,068 and 836,886,438 is: 1,286,354,427.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    544,468,068 : 836,886,438 = 836,886,438 : x
  2. Step 2: Convert to fraction form
    544,468,068/836,886,438 = 836,886,438/x
  3. Step 3: Cross multiply
    544,468,068x = 836,886,438 × 836,886,438
  4. Step 4: Simplify right side
    544,468,068x = 700,378,910,108,327,808
  5. Step 5: Solve for x
    x = 700,378,910,108,327,808/544,468,068
  6. Step 6: Final answer
    x = 1,286,354,427.87

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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.