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Finding the Third Proportional to 3,071,544,250 and 4,946,197,911

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Solution

The third proportional to 3,071,544,250 and 4,946,197,911 is: 7,965,007,756.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,071,544,250 : 4,946,197,911 = 4,946,197,911 : x
  2. Step 2: Convert to fraction form
    3,071,544,250/4,946,197,911 = 4,946,197,911/x
  3. Step 3: Cross multiply
    3,071,544,250x = 4,946,197,911 × 4,946,197,911
  4. Step 4: Simplify right side
    3,071,544,250x = 24,464,873,774,780,764,160
  5. Step 5: Solve for x
    x = 24,464,873,774,780,764,160/3,071,544,250
  6. Step 6: Final answer
    x = 7,965,007,756.21

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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.