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Finding the Third Proportional to 14,650,713 and 21,537,576

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Solution

The third proportional to 14,650,713 and 21,537,576 is: 31,661,747.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,650,713 : 21,537,576 = 21,537,576 : x
  2. Step 2: Convert to fraction form
    14,650,713/21,537,576 = 21,537,576/x
  3. Step 3: Cross multiply
    14,650,713x = 21,537,576 × 21,537,576
  4. Step 4: Simplify right side
    14,650,713x = 463,867,179,955,776
  5. Step 5: Solve for x
    x = 463,867,179,955,776/14,650,713
  6. Step 6: Final answer
    x = 31,661,747.79

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.