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Finding the Third Proportional to 2,887,154,103,071 and 6,193,425,798,978

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Solution

The third proportional to 2,887,154,103,071 and 6,193,425,798,978 is: 13,285,928,550,417.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,887,154,103,071 : 6,193,425,798,978 = 6,193,425,798,978 : x
  2. Step 2: Convert to fraction form
    2,887,154,103,071/6,193,425,798,978 = 6,193,425,798,978/x
  3. Step 3: Cross multiply
    2,887,154,103,071x = 6,193,425,798,978 × 6,193,425,798,978
  4. Step 4: Simplify right side
    2,887,154,103,071x = 38,358,523,127,446,277,409,734,656
  5. Step 5: Solve for x
    x = 38,358,523,127,446,277,409,734,656/2,887,154,103,071
  6. Step 6: Final answer
    x = 13,285,928,550,417.59

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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.