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Finding the Third Proportional to 5,834,019 and 8,831,514

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Solution

The third proportional to 5,834,019 and 8,831,514 is: 13,369,109.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,834,019 : 8,831,514 = 8,831,514 : x
  2. Step 2: Convert to fraction form
    5,834,019/8,831,514 = 8,831,514/x
  3. Step 3: Cross multiply
    5,834,019x = 8,831,514 × 8,831,514
  4. Step 4: Simplify right side
    5,834,019x = 77,995,639,532,196
  5. Step 5: Solve for x
    x = 77,995,639,532,196/5,834,019
  6. Step 6: Final answer
    x = 13,369,109.62

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.