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Finding the Third Proportional to 10,119,612,565,728 and 15,416,529,753,880

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Solution

The third proportional to 10,119,612,565,728 and 15,416,529,753,880 is: 23,486,016,693,680.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,119,612,565,728 : 15,416,529,753,880 = 15,416,529,753,880 : x
  2. Step 2: Convert to fraction form
    10,119,612,565,728/15,416,529,753,880 = 15,416,529,753,880/x
  3. Step 3: Cross multiply
    10,119,612,565,728x = 15,416,529,753,880 × 15,416,529,753,880
  4. Step 4: Simplify right side
    10,119,612,565,728x = 237,669,389,652,267,327,998,132,224
  5. Step 5: Solve for x
    x = 237,669,389,652,267,327,998,132,224/10,119,612,565,728
  6. Step 6: Final answer
    x = 23,486,016,693,680.55

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.