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Finding the Third Proportional to 615,943,143 and 1,282,835,610

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Solution

The third proportional to 615,943,143 and 1,282,835,610 is: 2,671,784,272.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,943,143 : 1,282,835,610 = 1,282,835,610 : x
  2. Step 2: Convert to fraction form
    615,943,143/1,282,835,610 = 1,282,835,610/x
  3. Step 3: Cross multiply
    615,943,143x = 1,282,835,610 × 1,282,835,610
  4. Step 4: Simplify right side
    615,943,143x = 1,645,667,202,284,072,192
  5. Step 5: Solve for x
    x = 1,645,667,202,284,072,192/615,943,143
  6. Step 6: Final answer
    x = 2,671,784,272.60

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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.