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Finding the Third Proportional to 27,725,948 and 61,827,000

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Solution

The third proportional to 27,725,948 and 61,827,000 is: 137,870,053.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,725,948 : 61,827,000 = 61,827,000 : x
  2. Step 2: Convert to fraction form
    27,725,948/61,827,000 = 61,827,000/x
  3. Step 3: Cross multiply
    27,725,948x = 61,827,000 × 61,827,000
  4. Step 4: Simplify right side
    27,725,948x = 3,822,577,929,000,000
  5. Step 5: Solve for x
    x = 3,822,577,929,000,000/27,725,948
  6. Step 6: Final answer
    x = 137,870,053.32

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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.