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Finding the Third Proportional to 986,675,267.81 and 2,193,955,581.38

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Solution

The third proportional to 986,675,267.81 and 2,193,955,581.38 is: 4,878,445,067.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    986,675,267.81 : 2,193,955,581.38 = 2,193,955,581.38 : x
  2. Step 2: Convert to fraction form
    986,675,267.81/2,193,955,581.38 = 2,193,955,581.38/x
  3. Step 3: Cross multiply
    986,675,267.81x = 2,193,955,581.38 × 2,193,955,581.38
  4. Step 4: Simplify right side
    986,675,267.81x = 4,813,441,093,046,514,688
  5. Step 5: Solve for x
    x = 4,813,441,093,046,514,688/986,675,267.81
  6. Step 6: Final answer
    x = 4,878,445,067.06

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.