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Finding the Third Proportional to 5,149,568.25 and 7,566,702.75

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Solution

The third proportional to 5,149,568.25 and 7,566,702.75 is: 11,118,406.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,149,568.25 : 7,566,702.75 = 7,566,702.75 : x
  2. Step 2: Convert to fraction form
    5,149,568.25/7,566,702.75 = 7,566,702.75/x
  3. Step 3: Cross multiply
    5,149,568.25x = 7,566,702.75 × 7,566,702.75
  4. Step 4: Simplify right side
    5,149,568.25x = 57,254,990,506,857.56
  5. Step 5: Solve for x
    x = 57,254,990,506,857.56/5,149,568.25
  6. Step 6: Final answer
    x = 11,118,406.00

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.