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Finding the Third Proportional to 615,943,144 and 1,282,835,612

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Solution

The third proportional to 615,943,144 and 1,282,835,612 is: 2,671,784,276.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,943,144 : 1,282,835,612 = 1,282,835,612 : x
  2. Step 2: Convert to fraction form
    615,943,144/1,282,835,612 = 1,282,835,612/x
  3. Step 3: Cross multiply
    615,943,144x = 1,282,835,612 × 1,282,835,612
  4. Step 4: Simplify right side
    615,943,144x = 1,645,667,207,415,414,528
  5. Step 5: Solve for x
    x = 1,645,667,207,415,414,528/615,943,144
  6. Step 6: Final answer
    x = 2,671,784,276.59

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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.