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Finding the Third Proportional to 1,619,746,824 and 2,419,006,173

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Solution

The third proportional to 1,619,746,824 and 2,419,006,173 is: 3,612,657,718.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,619,746,824 : 2,419,006,173 = 2,419,006,173 : x
  2. Step 2: Convert to fraction form
    1,619,746,824/2,419,006,173 = 2,419,006,173/x
  3. Step 3: Cross multiply
    1,619,746,824x = 2,419,006,173 × 2,419,006,173
  4. Step 4: Simplify right side
    1,619,746,824x = 5,851,590,865,012,106,240
  5. Step 5: Solve for x
    x = 5,851,590,865,012,106,240/1,619,746,824
  6. Step 6: Final answer
    x = 3,612,657,718.05

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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.