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Finding the Third Proportional to 10,580,071 and 14,899,061

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Solution

The third proportional to 10,580,071 and 14,899,061 is: 20,981,146.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,580,071 : 14,899,061 = 14,899,061 : x
  2. Step 2: Convert to fraction form
    10,580,071/14,899,061 = 14,899,061/x
  3. Step 3: Cross multiply
    10,580,071x = 14,899,061 × 14,899,061
  4. Step 4: Simplify right side
    10,580,071x = 221,982,018,681,721
  5. Step 5: Solve for x
    x = 221,982,018,681,721/10,580,071
  6. Step 6: Final answer
    x = 20,981,146.41

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.