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Finding the Third Proportional to 278,516,933,072 and 418,070,189,848

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Solution

The third proportional to 278,516,933,072 and 418,070,189,848 is: 627,547,782,146.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,516,933,072 : 418,070,189,848 = 418,070,189,848 : x
  2. Step 2: Convert to fraction form
    278,516,933,072/418,070,189,848 = 418,070,189,848/x
  3. Step 3: Cross multiply
    278,516,933,072x = 418,070,189,848 × 418,070,189,848
  4. Step 4: Simplify right side
    278,516,933,072x = 174,782,683,639,542,745,923,584
  5. Step 5: Solve for x
    x = 174,782,683,639,542,745,923,584/278,516,933,072
  6. Step 6: Final answer
    x = 627,547,782,146.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.