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Finding the Third Proportional to 1,619,746,779 and 2,419,006,110

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Solution

The third proportional to 1,619,746,779 and 2,419,006,110 is: 3,612,657,630.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,619,746,779 : 2,419,006,110 = 2,419,006,110 : x
  2. Step 2: Convert to fraction form
    1,619,746,779/2,419,006,110 = 2,419,006,110/x
  3. Step 3: Cross multiply
    1,619,746,779x = 2,419,006,110 × 2,419,006,110
  4. Step 4: Simplify right side
    1,619,746,779x = 5,851,590,560,217,331,712
  5. Step 5: Solve for x
    x = 5,851,590,560,217,331,712/1,619,746,779
  6. Step 6: Final answer
    x = 3,612,657,630.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.