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Finding the Third Proportional to 1,606,660,476 and 2,482,697,816

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Solution

The third proportional to 1,606,660,476 and 2,482,697,816 is: 3,836,397,632.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,606,660,476 : 2,482,697,816 = 2,482,697,816 : x
  2. Step 2: Convert to fraction form
    1,606,660,476/2,482,697,816 = 2,482,697,816/x
  3. Step 3: Cross multiply
    1,606,660,476x = 2,482,697,816 × 2,482,697,816
  4. Step 4: Simplify right side
    1,606,660,476x = 6,163,788,445,571,170,304
  5. Step 5: Solve for x
    x = 6,163,788,445,571,170,304/1,606,660,476
  6. Step 6: Final answer
    x = 3,836,397,632.01

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.