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Finding the Third Proportional to 1,165,257,351 and 2,496,722,634

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Solution

The third proportional to 1,165,257,351 and 2,496,722,634 is: 5,349,568,407.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165,257,351 : 2,496,722,634 = 2,496,722,634 : x
  2. Step 2: Convert to fraction form
    1,165,257,351/2,496,722,634 = 2,496,722,634/x
  3. Step 3: Cross multiply
    1,165,257,351x = 2,496,722,634 × 2,496,722,634
  4. Step 4: Simplify right side
    1,165,257,351x = 6,233,623,911,127,898,112
  5. Step 5: Solve for x
    x = 6,233,623,911,127,898,112/1,165,257,351
  6. Step 6: Final answer
    x = 5,349,568,407.17

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.