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Finding the Third Proportional to 5,910,261 and 12,532,206

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Solution

The third proportional to 5,910,261 and 12,532,206 is: 26,573,477.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,910,261 : 12,532,206 = 12,532,206 : x
  2. Step 2: Convert to fraction form
    5,910,261/12,532,206 = 12,532,206/x
  3. Step 3: Cross multiply
    5,910,261x = 12,532,206 × 12,532,206
  4. Step 4: Simplify right side
    5,910,261x = 157,056,187,226,436
  5. Step 5: Solve for x
    x = 157,056,187,226,436/5,910,261
  6. Step 6: Final answer
    x = 26,573,477.42

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.