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Finding the Third Proportional to 1,305,181,038 and 2,070,098,155

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Solution

The third proportional to 1,305,181,038 and 2,070,098,155 is: 3,283,304,190.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,305,181,038 : 2,070,098,155 = 2,070,098,155 : x
  2. Step 2: Convert to fraction form
    1,305,181,038/2,070,098,155 = 2,070,098,155/x
  3. Step 3: Cross multiply
    1,305,181,038x = 2,070,098,155 × 2,070,098,155
  4. Step 4: Simplify right side
    1,305,181,038x = 4,285,306,371,334,404,096
  5. Step 5: Solve for x
    x = 4,285,306,371,334,404,096/1,305,181,038
  6. Step 6: Final answer
    x = 3,283,304,190.43

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.