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Finding the Third Proportional to 7,985,108 and 17,315,446

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Solution

The third proportional to 7,985,108 and 17,315,446 is: 37,547,979.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,985,108 : 17,315,446 = 17,315,446 : x
  2. Step 2: Convert to fraction form
    7,985,108/17,315,446 = 17,315,446/x
  3. Step 3: Cross multiply
    7,985,108x = 17,315,446 × 17,315,446
  4. Step 4: Simplify right side
    7,985,108x = 299,824,670,178,916
  5. Step 5: Solve for x
    x = 299,824,670,178,916/7,985,108
  6. Step 6: Final answer
    x = 37,547,979.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.