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Finding the Third Proportional to 1,744,257,298 and 2,681,049,598

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Solution

The third proportional to 1,744,257,298 and 2,681,049,598 is: 4,120,967,104.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,744,257,298 : 2,681,049,598 = 2,681,049,598 : x
  2. Step 2: Convert to fraction form
    1,744,257,298/2,681,049,598 = 2,681,049,598/x
  3. Step 3: Cross multiply
    1,744,257,298x = 2,681,049,598 × 2,681,049,598
  4. Step 4: Simplify right side
    1,744,257,298x = 7,188,026,946,935,961,600
  5. Step 5: Solve for x
    x = 7,188,026,946,935,961,600/1,744,257,298
  6. Step 6: Final answer
    x = 4,120,967,104.55

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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.