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Finding the Third Proportional to 2,397,681 and 5,136,507

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Solution

The third proportional to 2,397,681 and 5,136,507 is: 11,003,842.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,397,681 : 5,136,507 = 5,136,507 : x
  2. Step 2: Convert to fraction form
    2,397,681/5,136,507 = 5,136,507/x
  3. Step 3: Cross multiply
    2,397,681x = 5,136,507 × 5,136,507
  4. Step 4: Simplify right side
    2,397,681x = 26,383,704,161,049
  5. Step 5: Solve for x
    x = 26,383,704,161,049/2,397,681
  6. Step 6: Final answer
    x = 11,003,842.53

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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.