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Finding the Third Proportional to 1,242,451,437.75 and 2,760,709,394.25

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Solution

The third proportional to 1,242,451,437.75 and 2,760,709,394.25 is: 6,134,256,943.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,242,451,437.75 : 2,760,709,394.25 = 2,760,709,394.25 : x
  2. Step 2: Convert to fraction form
    1,242,451,437.75/2,760,709,394.25 = 2,760,709,394.25/x
  3. Step 3: Cross multiply
    1,242,451,437.75x = 2,760,709,394.25 × 2,760,709,394.25
  4. Step 4: Simplify right side
    1,242,451,437.75x = 7,621,516,359,500,201,984
  5. Step 5: Solve for x
    x = 7,621,516,359,500,201,984/1,242,451,437.75
  6. Step 6: Final answer
    x = 6,134,256,943.92

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.