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Finding the Third Proportional to 2,665,595.25 and 5,756,703.75

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Solution

The third proportional to 2,665,595.25 and 5,756,703.75 is: 12,432,359.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,665,595.25 : 5,756,703.75 = 5,756,703.75 : x
  2. Step 2: Convert to fraction form
    2,665,595.25/5,756,703.75 = 5,756,703.75/x
  3. Step 3: Cross multiply
    2,665,595.25x = 5,756,703.75 × 5,756,703.75
  4. Step 4: Simplify right side
    2,665,595.25x = 33,139,638,065,264.06
  5. Step 5: Solve for x
    x = 33,139,638,065,264.06/2,665,595.25
  6. Step 6: Final answer
    x = 12,432,359.36

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.