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Finding the Third Proportional to 47,270,072 and 102,822,352

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Solution

The third proportional to 47,270,072 and 102,822,352 is: 223,660,248.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,270,072 : 102,822,352 = 102,822,352 : x
  2. Step 2: Convert to fraction form
    47,270,072/102,822,352 = 102,822,352/x
  3. Step 3: Cross multiply
    47,270,072x = 102,822,352 × 102,822,352
  4. Step 4: Simplify right side
    47,270,072x = 10,572,436,070,811,904
  5. Step 5: Solve for x
    x = 10,572,436,070,811,904/47,270,072
  6. Step 6: Final answer
    x = 223,660,248.94

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.