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Finding the Third Proportional to 2,627,673.75 and 5,648,140.13

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Solution

The third proportional to 2,627,673.75 and 5,648,140.13 is: 12,140,581.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,627,673.75 : 5,648,140.13 = 5,648,140.13 : x
  2. Step 2: Convert to fraction form
    2,627,673.75/5,648,140.13 = 5,648,140.13/x
  3. Step 3: Cross multiply
    2,627,673.75x = 5,648,140.13 × 5,648,140.13
  4. Step 4: Simplify right side
    2,627,673.75x = 31,901,486,871,635.02
  5. Step 5: Solve for x
    x = 31,901,486,871,635.02/2,627,673.75
  6. Step 6: Final answer
    x = 12,140,581.33

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.