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Finding the Third Proportional to 10,416,307 and 15,924,647

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Solution

The third proportional to 10,416,307 and 15,924,647 is: 24,345,901.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,416,307 : 15,924,647 = 15,924,647 : x
  2. Step 2: Convert to fraction form
    10,416,307/15,924,647 = 15,924,647/x
  3. Step 3: Cross multiply
    10,416,307x = 15,924,647 × 15,924,647
  4. Step 4: Simplify right side
    10,416,307x = 253,594,382,074,609
  5. Step 5: Solve for x
    x = 253,594,382,074,609/10,416,307
  6. Step 6: Final answer
    x = 24,345,901.29

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.