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Finding the Third Proportional to 12,977,016,669 and 26,641,983,711

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Solution

The third proportional to 12,977,016,669 and 26,641,983,711 is: 54,696,338,469.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,977,016,669 : 26,641,983,711 = 26,641,983,711 : x
  2. Step 2: Convert to fraction form
    12,977,016,669/26,641,983,711 = 26,641,983,711/x
  3. Step 3: Cross multiply
    12,977,016,669x = 26,641,983,711 × 26,641,983,711
  4. Step 4: Simplify right side
    12,977,016,669x = 709,795,296,057,189,335,040
  5. Step 5: Solve for x
    x = 709,795,296,057,189,335,040/12,977,016,669
  6. Step 6: Final answer
    x = 54,696,338,469.90

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.