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Finding the Third Proportional to 2,694,837,051 and 5,864,201,505

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Solution

The third proportional to 2,694,837,051 and 5,864,201,505 is: 12,761,016,210.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,694,837,051 : 5,864,201,505 = 5,864,201,505 : x
  2. Step 2: Convert to fraction form
    2,694,837,051/5,864,201,505 = 5,864,201,505/x
  3. Step 3: Cross multiply
    2,694,837,051x = 5,864,201,505 × 5,864,201,505
  4. Step 4: Simplify right side
    2,694,837,051x = 34,388,859,291,244,265,472
  5. Step 5: Solve for x
    x = 34,388,859,291,244,265,472/2,694,837,051
  6. Step 6: Final answer
    x = 12,761,016,210.05

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.