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Finding the Third Proportional to 6,766,290 and 14,588,910

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Solution

The third proportional to 6,766,290 and 14,588,910 is: 31,455,390.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,766,290 : 14,588,910 = 14,588,910 : x
  2. Step 2: Convert to fraction form
    6,766,290/14,588,910 = 14,588,910/x
  3. Step 3: Cross multiply
    6,766,290x = 14,588,910 × 14,588,910
  4. Step 4: Simplify right side
    6,766,290x = 212,836,294,988,100
  5. Step 5: Solve for x
    x = 212,836,294,988,100/6,766,290
  6. Step 6: Final answer
    x = 31,455,390.62

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.