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Finding the Third Proportional to 10,416,294 and 15,924,627

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Solution

The third proportional to 10,416,294 and 15,924,627 is: 24,345,870.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,416,294 : 15,924,627 = 15,924,627 : x
  2. Step 2: Convert to fraction form
    10,416,294/15,924,627 = 15,924,627/x
  3. Step 3: Cross multiply
    10,416,294x = 15,924,627 × 15,924,627
  4. Step 4: Simplify right side
    10,416,294x = 253,593,745,089,129
  5. Step 5: Solve for x
    x = 253,593,745,089,129/10,416,294
  6. Step 6: Final answer
    x = 24,345,870.53

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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.