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Finding the Third Proportional to 467,893,927 and 1,013,809,418

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Solution

The third proportional to 467,893,927 and 1,013,809,418 is: 2,196,672,101.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,893,927 : 1,013,809,418 = 1,013,809,418 : x
  2. Step 2: Convert to fraction form
    467,893,927/1,013,809,418 = 1,013,809,418/x
  3. Step 3: Cross multiply
    467,893,927x = 1,013,809,418 × 1,013,809,418
  4. Step 4: Simplify right side
    467,893,927x = 1,027,809,536,025,498,752
  5. Step 5: Solve for x
    x = 1,027,809,536,025,498,752/467,893,927
  6. Step 6: Final answer
    x = 2,196,672,101.76

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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.