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Finding the Third Proportional to 10,967,916 and 17,514,594

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Solution

The third proportional to 10,967,916 and 17,514,594 is: 27,968,941.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,967,916 : 17,514,594 = 17,514,594 : x
  2. Step 2: Convert to fraction form
    10,967,916/17,514,594 = 17,514,594/x
  3. Step 3: Cross multiply
    10,967,916x = 17,514,594 × 17,514,594
  4. Step 4: Simplify right side
    10,967,916x = 306,761,002,984,836
  5. Step 5: Solve for x
    x = 306,761,002,984,836/10,967,916
  6. Step 6: Final answer
    x = 27,968,941.68

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.