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Finding the Third Proportional to 346,600,917 and 538,412,157

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Solution

The third proportional to 346,600,917 and 538,412,157 is: 836,373,005.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,600,917 : 538,412,157 = 538,412,157 : x
  2. Step 2: Convert to fraction form
    346,600,917/538,412,157 = 538,412,157/x
  3. Step 3: Cross multiply
    346,600,917x = 538,412,157 × 538,412,157
  4. Step 4: Simplify right side
    346,600,917x = 289,887,650,805,392,640
  5. Step 5: Solve for x
    x = 289,887,650,805,392,640/346,600,917
  6. Step 6: Final answer
    x = 836,373,005.92

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.