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Finding the Third Proportional to 10,971,812,033 and 24,039,760,155

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Solution

The third proportional to 10,971,812,033 and 24,039,760,155 is: 52,672,253,823.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,971,812,033 : 24,039,760,155 = 24,039,760,155 : x
  2. Step 2: Convert to fraction form
    10,971,812,033/24,039,760,155 = 24,039,760,155/x
  3. Step 3: Cross multiply
    10,971,812,033x = 24,039,760,155 × 24,039,760,155
  4. Step 4: Simplify right side
    10,971,812,033x = 577,910,068,309,925,625,856
  5. Step 5: Solve for x
    x = 577,910,068,309,925,625,856/10,971,812,033
  6. Step 6: Final answer
    x = 52,672,253,823.87

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.