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Finding the Third Proportional to 14,214,901 and 30,699,452

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Solution

The third proportional to 14,214,901 and 30,699,452 is: 66,300,592.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,214,901 : 30,699,452 = 30,699,452 : x
  2. Step 2: Convert to fraction form
    14,214,901/30,699,452 = 30,699,452/x
  3. Step 3: Cross multiply
    14,214,901x = 30,699,452 × 30,699,452
  4. Step 4: Simplify right side
    14,214,901x = 942,456,353,100,304
  5. Step 5: Solve for x
    x = 942,456,353,100,304/14,214,901
  6. Step 6: Final answer
    x = 66,300,592.11

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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.