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Finding the Third Proportional to 14,202,459 and 30,576,965.91

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Solution

The third proportional to 14,202,459 and 30,576,965.91 is: 65,830,208.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,202,459 : 30,576,965.91 = 30,576,965.91 : x
  2. Step 2: Convert to fraction form
    14,202,459/30,576,965.91 = 30,576,965.91/x
  3. Step 3: Cross multiply
    14,202,459x = 30,576,965.91 × 30,576,965.91
  4. Step 4: Simplify right side
    14,202,459x = 934,950,844,031,974.88
  5. Step 5: Solve for x
    x = 934,950,844,031,974.88/14,202,459
  6. Step 6: Final answer
    x = 65,830,208.98

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.