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Finding the Third Proportional to 1,870,227,257.91 and 4,065,987,035.81

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Solution

The third proportional to 1,870,227,257.91 and 4,065,987,035.81 is: 8,839,701,434.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,870,227,257.91 : 4,065,987,035.81 = 4,065,987,035.81 : x
  2. Step 2: Convert to fraction form
    1,870,227,257.91/4,065,987,035.81 = 4,065,987,035.81/x
  3. Step 3: Cross multiply
    1,870,227,257.91x = 4,065,987,035.81 × 4,065,987,035.81
  4. Step 4: Simplify right side
    1,870,227,257.91x = 16,532,250,575,395,319,808
  5. Step 5: Solve for x
    x = 16,532,250,575,395,319,808/1,870,227,257.91
  6. Step 6: Final answer
    x = 8,839,701,434.95

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.