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Finding the Third Proportional to 2,576,769 and 5,486,178

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Solution

The third proportional to 2,576,769 and 5,486,178 is: 11,680,577.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,576,769 : 5,486,178 = 5,486,178 : x
  2. Step 2: Convert to fraction form
    2,576,769/5,486,178 = 5,486,178/x
  3. Step 3: Cross multiply
    2,576,769x = 5,486,178 × 5,486,178
  4. Step 4: Simplify right side
    2,576,769x = 30,098,149,047,684
  5. Step 5: Solve for x
    x = 30,098,149,047,684/2,576,769
  6. Step 6: Final answer
    x = 11,680,577.13

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.