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Finding the Third Proportional to 2,535,497,757 and 3,503,578,686.75

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Solution

The third proportional to 2,535,497,757 and 3,503,578,686.75 is: 4,841,283,562.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,535,497,757 : 3,503,578,686.75 = 3,503,578,686.75 : x
  2. Step 2: Convert to fraction form
    2,535,497,757/3,503,578,686.75 = 3,503,578,686.75/x
  3. Step 3: Cross multiply
    2,535,497,757x = 3,503,578,686.75 × 3,503,578,686.75
  4. Step 4: Simplify right side
    2,535,497,757x = 12,275,063,614,248,855,552
  5. Step 5: Solve for x
    x = 12,275,063,614,248,855,552/2,535,497,757
  6. Step 6: Final answer
    x = 4,841,283,562.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.