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Finding the Third Proportional to 615,943,134 and 1,282,835,592

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Solution

The third proportional to 615,943,134 and 1,282,835,592 is: 2,671,784,236.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,943,134 : 1,282,835,592 = 1,282,835,592 : x
  2. Step 2: Convert to fraction form
    615,943,134/1,282,835,592 = 1,282,835,592/x
  3. Step 3: Cross multiply
    615,943,134x = 1,282,835,592 × 1,282,835,592
  4. Step 4: Simplify right side
    615,943,134x = 1,645,667,156,101,990,400
  5. Step 5: Solve for x
    x = 1,645,667,156,101,990,400/615,943,134
  6. Step 6: Final answer
    x = 2,671,784,236.66

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.