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Finding the Third Proportional to 10,416,296 and 15,924,630

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Solution

The third proportional to 10,416,296 and 15,924,630 is: 24,345,875.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,416,296 : 15,924,630 = 15,924,630 : x
  2. Step 2: Convert to fraction form
    10,416,296/15,924,630 = 15,924,630/x
  3. Step 3: Cross multiply
    10,416,296x = 15,924,630 × 15,924,630
  4. Step 4: Simplify right side
    10,416,296x = 253,593,840,636,900
  5. Step 5: Solve for x
    x = 253,593,840,636,900/10,416,296
  6. Step 6: Final answer
    x = 24,345,875.02

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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.