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Finding the Third Proportional to 10,349,680,944 and 22,512,733,087

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Solution

The third proportional to 10,349,680,944 and 22,512,733,087 is: 48,969,929,970.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,349,680,944 : 22,512,733,087 = 22,512,733,087 : x
  2. Step 2: Convert to fraction form
    10,349,680,944/22,512,733,087 = 22,512,733,087/x
  3. Step 3: Cross multiply
    10,349,680,944x = 22,512,733,087 × 22,512,733,087
  4. Step 4: Simplify right side
    10,349,680,944x = 506,823,151,046,504,546,304
  5. Step 5: Solve for x
    x = 506,823,151,046,504,546,304/10,349,680,944
  6. Step 6: Final answer
    x = 48,969,929,970.67

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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.