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Finding the Third Proportional to 1,165,250,833.50 and 2,496,709,839

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Solution

The third proportional to 1,165,250,833.50 and 2,496,709,839 is: 5,349,543,498.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165,250,833.50 : 2,496,709,839 = 2,496,709,839 : x
  2. Step 2: Convert to fraction form
    1,165,250,833.50/2,496,709,839 = 2,496,709,839/x
  3. Step 3: Cross multiply
    1,165,250,833.50x = 2,496,709,839 × 2,496,709,839
  4. Step 4: Simplify right side
    1,165,250,833.50x = 6,233,560,020,159,406,080
  5. Step 5: Solve for x
    x = 6,233,560,020,159,406,080/1,165,250,833.50
  6. Step 6: Final answer
    x = 5,349,543,498.23

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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.