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Finding the Third Proportional to 3,135,705 and 6,869,289

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Solution

The third proportional to 3,135,705 and 6,869,289 is: 15,048,332.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,135,705 : 6,869,289 = 6,869,289 : x
  2. Step 2: Convert to fraction form
    3,135,705/6,869,289 = 6,869,289/x
  3. Step 3: Cross multiply
    3,135,705x = 6,869,289 × 6,869,289
  4. Step 4: Simplify right side
    3,135,705x = 47,187,131,365,521
  5. Step 5: Solve for x
    x = 47,187,131,365,521/3,135,705
  6. Step 6: Final answer
    x = 15,048,332.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.