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Finding the Third Proportional to 25,754,745,759 and 38,876,974,614

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Solution

The third proportional to 25,754,745,759 and 38,876,974,614 is: 58,685,073,783.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,754,745,759 : 38,876,974,614 = 38,876,974,614 : x
  2. Step 2: Convert to fraction form
    25,754,745,759/38,876,974,614 = 38,876,974,614/x
  3. Step 3: Cross multiply
    25,754,745,759x = 38,876,974,614 × 38,876,974,614
  4. Step 4: Simplify right side
    25,754,745,759x = 1,511,419,155,137,600,421,888
  5. Step 5: Solve for x
    x = 1,511,419,155,137,600,421,888/25,754,745,759
  6. Step 6: Final answer
    x = 58,685,073,783.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.