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Finding the Third Proportional to 6,464,714 and 14,064,452

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Solution

The third proportional to 6,464,714 and 14,064,452 is: 30,598,230.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,464,714 : 14,064,452 = 14,064,452 : x
  2. Step 2: Convert to fraction form
    6,464,714/14,064,452 = 14,064,452/x
  3. Step 3: Cross multiply
    6,464,714x = 14,064,452 × 14,064,452
  4. Step 4: Simplify right side
    6,464,714x = 197,808,810,060,304
  5. Step 5: Solve for x
    x = 197,808,810,060,304/6,464,714
  6. Step 6: Final answer
    x = 30,598,230.65

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.