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Finding the Third Proportional to 2,771,969,814 and 4,227,772,806

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Solution

The third proportional to 2,771,969,814 and 4,227,772,806 is: 6,448,144,856.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,771,969,814 : 4,227,772,806 = 4,227,772,806 : x
  2. Step 2: Convert to fraction form
    2,771,969,814/4,227,772,806 = 4,227,772,806/x
  3. Step 3: Cross multiply
    2,771,969,814x = 4,227,772,806 × 4,227,772,806
  4. Step 4: Simplify right side
    2,771,969,814x = 17,874,062,899,153,113,088
  5. Step 5: Solve for x
    x = 17,874,062,899,153,113,088/2,771,969,814
  6. Step 6: Final answer
    x = 6,448,144,856.73

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.