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Finding the Third Proportional to 6,579,569 and 14,671,972

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Solution

The third proportional to 6,579,569 and 14,671,972 is: 32,717,456.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,579,569 : 14,671,972 = 14,671,972 : x
  2. Step 2: Convert to fraction form
    6,579,569/14,671,972 = 14,671,972/x
  3. Step 3: Cross multiply
    6,579,569x = 14,671,972 × 14,671,972
  4. Step 4: Simplify right side
    6,579,569x = 215,266,762,368,784
  5. Step 5: Solve for x
    x = 215,266,762,368,784/6,579,569
  6. Step 6: Final answer
    x = 32,717,456.47

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.