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Finding the Third Proportional to 3,249,263.25 and 7,040,343.94

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Solution

The third proportional to 3,249,263.25 and 7,040,343.94 is: 15,254,671.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,249,263.25 : 7,040,343.94 = 7,040,343.94 : x
  2. Step 2: Convert to fraction form
    3,249,263.25/7,040,343.94 = 7,040,343.94/x
  3. Step 3: Cross multiply
    3,249,263.25x = 7,040,343.94 × 7,040,343.94
  4. Step 4: Simplify right side
    3,249,263.25x = 49,566,442,758,293
  5. Step 5: Solve for x
    x = 49,566,442,758,293/3,249,263.25
  6. Step 6: Final answer
    x = 15,254,671.27

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.