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Finding the Third Proportional to 1,165,256,930 and 2,496,721,851

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Solution

The third proportional to 1,165,256,930 and 2,496,721,851 is: 5,349,566,984.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165,256,930 : 2,496,721,851 = 2,496,721,851 : x
  2. Step 2: Convert to fraction form
    1,165,256,930/2,496,721,851 = 2,496,721,851/x
  3. Step 3: Cross multiply
    1,165,256,930x = 2,496,721,851 × 2,496,721,851
  4. Step 4: Simplify right side
    1,165,256,930x = 6,233,620,001,260,866,560
  5. Step 5: Solve for x
    x = 6,233,620,001,260,866,560/1,165,256,930
  6. Step 6: Final answer
    x = 5,349,566,984.56

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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.