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Finding the Third Proportional to 3,071,544,248 and 4,946,197,908

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Solution

The third proportional to 3,071,544,248 and 4,946,197,908 is: 7,965,007,751.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,071,544,248 : 4,946,197,908 = 4,946,197,908 : x
  2. Step 2: Convert to fraction form
    3,071,544,248/4,946,197,908 = 4,946,197,908/x
  3. Step 3: Cross multiply
    3,071,544,248x = 4,946,197,908 × 4,946,197,908
  4. Step 4: Simplify right side
    3,071,544,248x = 24,464,873,745,103,577,088
  5. Step 5: Solve for x
    x = 24,464,873,745,103,577,088/3,071,544,248
  6. Step 6: Final answer
    x = 7,965,007,751.73

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.