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Finding the Third Proportional to 2,887,154,103,069 and 6,193,425,798,974.20

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Solution

The third proportional to 2,887,154,103,069 and 6,193,425,798,974.20 is: 13,285,928,550,410.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,887,154,103,069 : 6,193,425,798,974.20 = 6,193,425,798,974.20 : x
  2. Step 2: Convert to fraction form
    2,887,154,103,069/6,193,425,798,974.20 = 6,193,425,798,974.20/x
  3. Step 3: Cross multiply
    2,887,154,103,069x = 6,193,425,798,974.20 × 6,193,425,798,974.20
  4. Step 4: Simplify right side
    2,887,154,103,069x = 38,358,523,127,399,208,863,137,792
  5. Step 5: Solve for x
    x = 38,358,523,127,399,208,863,137,792/2,887,154,103,069
  6. Step 6: Final answer
    x = 13,285,928,550,410.49

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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.