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Finding the Third Proportional to 27,726,048 and 61,827,184

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Solution

The third proportional to 27,726,048 and 61,827,184 is: 137,870,376.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,726,048 : 61,827,184 = 61,827,184 : x
  2. Step 2: Convert to fraction form
    27,726,048/61,827,184 = 61,827,184/x
  3. Step 3: Cross multiply
    27,726,048x = 61,827,184 × 61,827,184
  4. Step 4: Simplify right side
    27,726,048x = 3,822,600,681,369,856
  5. Step 5: Solve for x
    x = 3,822,600,681,369,856/27,726,048
  6. Step 6: Final answer
    x = 137,870,376.67

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.