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Finding the Third Proportional to 1,805,609,925 and 2,542,696,659

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Solution

The third proportional to 1,805,609,925 and 2,542,696,659 is: 3,580,677,205.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,805,609,925 : 2,542,696,659 = 2,542,696,659 : x
  2. Step 2: Convert to fraction form
    1,805,609,925/2,542,696,659 = 2,542,696,659/x
  3. Step 3: Cross multiply
    1,805,609,925x = 2,542,696,659 × 2,542,696,659
  4. Step 4: Simplify right side
    1,805,609,925x = 6,465,306,299,689,761,792
  5. Step 5: Solve for x
    x = 6,465,306,299,689,761,792/1,805,609,925
  6. Step 6: Final answer
    x = 3,580,677,205.07

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.