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Finding the Third Proportional to 1,346,177,514 and 2,067,892,767

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Solution

The third proportional to 1,346,177,514 and 2,067,892,767 is: 3,176,535,376.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,346,177,514 : 2,067,892,767 = 2,067,892,767 : x
  2. Step 2: Convert to fraction form
    1,346,177,514/2,067,892,767 = 2,067,892,767/x
  3. Step 3: Cross multiply
    1,346,177,514x = 2,067,892,767 × 2,067,892,767
  4. Step 4: Simplify right side
    1,346,177,514x = 4,276,180,495,810,916,352
  5. Step 5: Solve for x
    x = 4,276,180,495,810,916,352/1,346,177,514
  6. Step 6: Final answer
    x = 3,176,535,376.16

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.