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Finding the Third Proportional to 6,765,494 and 14,195,289

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Solution

The third proportional to 6,765,494 and 14,195,289 is: 29,784,407.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,765,494 : 14,195,289 = 14,195,289 : x
  2. Step 2: Convert to fraction form
    6,765,494/14,195,289 = 14,195,289/x
  3. Step 3: Cross multiply
    6,765,494x = 14,195,289 × 14,195,289
  4. Step 4: Simplify right side
    6,765,494x = 201,506,229,793,521
  5. Step 5: Solve for x
    x = 201,506,229,793,521/6,765,494
  6. Step 6: Final answer
    x = 29,784,407.43

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.