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Finding the Third Proportional to 467,893,925 and 1,013,809,414

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Solution

The third proportional to 467,893,925 and 1,013,809,414 is: 2,196,672,093.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,893,925 : 1,013,809,414 = 1,013,809,414 : x
  2. Step 2: Convert to fraction form
    467,893,925/1,013,809,414 = 1,013,809,414/x
  3. Step 3: Cross multiply
    467,893,925x = 1,013,809,414 × 1,013,809,414
  4. Step 4: Simplify right side
    467,893,925x = 1,027,809,527,915,023,360
  5. Step 5: Solve for x
    x = 1,027,809,527,915,023,360/467,893,925
  6. Step 6: Final answer
    x = 2,196,672,093.82

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.