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Finding the Third Proportional to 10,349,681,694 and 22,512,734,425

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Solution

The third proportional to 10,349,681,694 and 22,512,734,425 is: 48,969,932,242.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,349,681,694 : 22,512,734,425 = 22,512,734,425 : x
  2. Step 2: Convert to fraction form
    10,349,681,694/22,512,734,425 = 22,512,734,425/x
  3. Step 3: Cross multiply
    10,349,681,694x = 22,512,734,425 × 22,512,734,425
  4. Step 4: Simplify right side
    10,349,681,694x = 506,823,211,290,580,090,880
  5. Step 5: Solve for x
    x = 506,823,211,290,580,090,880/10,349,681,694
  6. Step 6: Final answer
    x = 48,969,932,242.88

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.