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Finding the Third Proportional to 2,527,778 and 5,411,308

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Solution

The third proportional to 2,527,778 and 5,411,308 is: 11,584,187.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,527,778 : 5,411,308 = 5,411,308 : x
  2. Step 2: Convert to fraction form
    2,527,778/5,411,308 = 5,411,308/x
  3. Step 3: Cross multiply
    2,527,778x = 5,411,308 × 5,411,308
  4. Step 4: Simplify right side
    2,527,778x = 29,282,254,270,864
  5. Step 5: Solve for x
    x = 29,282,254,270,864/2,527,778
  6. Step 6: Final answer
    x = 11,584,187.48

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.