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Finding the Third Proportional to 2,456,053,690 and 5,342,432,444

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Solution

The third proportional to 2,456,053,690 and 5,342,432,444 is: 11,620,912,252.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,456,053,690 : 5,342,432,444 = 5,342,432,444 : x
  2. Step 2: Convert to fraction form
    2,456,053,690/5,342,432,444 = 5,342,432,444/x
  3. Step 3: Cross multiply
    2,456,053,690x = 5,342,432,444 × 5,342,432,444
  4. Step 4: Simplify right side
    2,456,053,690x = 28,541,584,418,703,814,656
  5. Step 5: Solve for x
    x = 28,541,584,418,703,814,656/2,456,053,690
  6. Step 6: Final answer
    x = 11,620,912,252.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.