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Finding the Third Proportional to 47,270,240 and 102,822,648

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Solution

The third proportional to 47,270,240 and 102,822,648 is: 223,660,741.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,270,240 : 102,822,648 = 102,822,648 : x
  2. Step 2: Convert to fraction form
    47,270,240/102,822,648 = 102,822,648/x
  3. Step 3: Cross multiply
    47,270,240x = 102,822,648 × 102,822,648
  4. Step 4: Simplify right side
    47,270,240x = 10,572,496,941,731,904
  5. Step 5: Solve for x
    x = 10,572,496,941,731,904/47,270,240
  6. Step 6: Final answer
    x = 223,660,741.76

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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.