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Finding the Third Proportional to 27,726,057 and 61,827,195.38

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Solution

The third proportional to 27,726,057 and 61,827,195.38 is: 137,870,382.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,726,057 : 61,827,195.38 = 61,827,195.38 : x
  2. Step 2: Convert to fraction form
    27,726,057/61,827,195.38 = 61,827,195.38/x
  3. Step 3: Cross multiply
    27,726,057x = 61,827,195.38 × 61,827,195.38
  4. Step 4: Simplify right side
    27,726,057x = 3,822,602,087,938,421.50
  5. Step 5: Solve for x
    x = 3,822,602,087,938,421.50/27,726,057
  6. Step 6: Final answer
    x = 137,870,382.65

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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.