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Finding the Third Proportional to 5,080,026.75 and 7,241,690.25

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Solution

The third proportional to 5,080,026.75 and 7,241,690.25 is: 10,323,189.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,080,026.75 : 7,241,690.25 = 7,241,690.25 : x
  2. Step 2: Convert to fraction form
    5,080,026.75/7,241,690.25 = 7,241,690.25/x
  3. Step 3: Cross multiply
    5,080,026.75x = 7,241,690.25 × 7,241,690.25
  4. Step 4: Simplify right side
    5,080,026.75x = 52,442,077,676,945.06
  5. Step 5: Solve for x
    x = 52,442,077,676,945.06/5,080,026.75
  6. Step 6: Final answer
    x = 10,323,189.28

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.