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Finding the Third Proportional to 10,349,680,971 and 22,512,733,143

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Solution

The third proportional to 10,349,680,971 and 22,512,733,143 is: 48,969,930,086.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,349,680,971 : 22,512,733,143 = 22,512,733,143 : x
  2. Step 2: Convert to fraction form
    10,349,680,971/22,512,733,143 = 22,512,733,143/x
  3. Step 3: Cross multiply
    10,349,680,971x = 22,512,733,143 × 22,512,733,143
  4. Step 4: Simplify right side
    10,349,680,971x = 506,823,153,567,930,646,528
  5. Step 5: Solve for x
    x = 506,823,153,567,930,646,528/10,349,680,971
  6. Step 6: Final answer
    x = 48,969,930,086.55

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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.