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Finding the Third Proportional to 2,376,645 and 5,132,049

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Solution

The third proportional to 2,376,645 and 5,132,049 is: 11,081,977.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,376,645 : 5,132,049 = 5,132,049 : x
  2. Step 2: Convert to fraction form
    2,376,645/5,132,049 = 5,132,049/x
  3. Step 3: Cross multiply
    2,376,645x = 5,132,049 × 5,132,049
  4. Step 4: Simplify right side
    2,376,645x = 26,337,926,938,401
  5. Step 5: Solve for x
    x = 26,337,926,938,401/2,376,645
  6. Step 6: Final answer
    x = 11,081,977.72

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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.