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Finding the Third Proportional to 47,266,013 and 102,598,816

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Solution

The third proportional to 47,266,013 and 102,598,816 is: 222,707,953.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,266,013 : 102,598,816 = 102,598,816 : x
  2. Step 2: Convert to fraction form
    47,266,013/102,598,816 = 102,598,816/x
  3. Step 3: Cross multiply
    47,266,013x = 102,598,816 × 102,598,816
  4. Step 4: Simplify right side
    47,266,013x = 10,526,517,044,601,856
  5. Step 5: Solve for x
    x = 10,526,517,044,601,856/47,266,013
  6. Step 6: Final answer
    x = 222,707,953.91

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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.