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Finding the Third Proportional to 5,426,165 and 8,637,398

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Solution

The third proportional to 5,426,165 and 8,637,398 is: 13,749,055.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,426,165 : 8,637,398 = 8,637,398 : x
  2. Step 2: Convert to fraction form
    5,426,165/8,637,398 = 8,637,398/x
  3. Step 3: Cross multiply
    5,426,165x = 8,637,398 × 8,637,398
  4. Step 4: Simplify right side
    5,426,165x = 74,604,644,210,404
  5. Step 5: Solve for x
    x = 74,604,644,210,404/5,426,165
  6. Step 6: Final answer
    x = 13,749,055.59

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.