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Finding the Third Proportional to 2,774,672,217 and 6,474,458,781

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Solution

The third proportional to 2,774,672,217 and 6,474,458,781 is: 15,107,592,259.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,774,672,217 : 6,474,458,781 = 6,474,458,781 : x
  2. Step 2: Convert to fraction form
    2,774,672,217/6,474,458,781 = 6,474,458,781/x
  3. Step 3: Cross multiply
    2,774,672,217x = 6,474,458,781 × 6,474,458,781
  4. Step 4: Simplify right side
    2,774,672,217x = 41,918,616,506,868,006,912
  5. Step 5: Solve for x
    x = 41,918,616,506,868,006,912/2,774,672,217
  6. Step 6: Final answer
    x = 15,107,592,259.02

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.