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Finding the Third Proportional to 1,619,746,998 and 2,419,006,419

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Solution

The third proportional to 1,619,746,998 and 2,419,006,419 is: 3,612,658,064.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,619,746,998 : 2,419,006,419 = 2,419,006,419 : x
  2. Step 2: Convert to fraction form
    1,619,746,998/2,419,006,419 = 2,419,006,419/x
  3. Step 3: Cross multiply
    1,619,746,998x = 2,419,006,419 × 2,419,006,419
  4. Step 4: Simplify right side
    1,619,746,998x = 5,851,592,055,163,203,584
  5. Step 5: Solve for x
    x = 5,851,592,055,163,203,584/1,619,746,998
  6. Step 6: Final answer
    x = 3,612,658,064.74

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