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Finding the Third Proportional to 560,098,980,015 and 1,205,147,312,877

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Solution

The third proportional to 560,098,980,015 and 1,205,147,312,877 is: 2,593,077,469,442.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,098,980,015 : 1,205,147,312,877 = 1,205,147,312,877 : x
  2. Step 2: Convert to fraction form
    560,098,980,015/1,205,147,312,877 = 1,205,147,312,877/x
  3. Step 3: Cross multiply
    560,098,980,015x = 1,205,147,312,877 × 1,205,147,312,877
  4. Step 4: Simplify right side
    560,098,980,015x = 1,452,380,045,734,653,840,064,512
  5. Step 5: Solve for x
    x = 1,452,380,045,734,653,840,064,512/560,098,980,015
  6. Step 6: Final answer
    x = 2,593,077,469,442.56

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.