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Finding the Third Proportional to 27,726,023 and 61,827,141

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Solution

The third proportional to 27,726,023 and 61,827,141 is: 137,870,309.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,726,023 : 61,827,141 = 61,827,141 : x
  2. Step 2: Convert to fraction form
    27,726,023/61,827,141 = 61,827,141/x
  3. Step 3: Cross multiply
    27,726,023x = 61,827,141 × 61,827,141
  4. Step 4: Simplify right side
    27,726,023x = 3,822,595,364,233,881
  5. Step 5: Solve for x
    x = 3,822,595,364,233,881/27,726,023
  6. Step 6: Final answer
    x = 137,870,309.21

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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.