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Finding the Third Proportional to 227,782,901.46 and 487,850,382.35

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Solution

The third proportional to 227,782,901.46 and 487,850,382.35 is: 1,044,845,745.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,782,901.46 : 487,850,382.35 = 487,850,382.35 : x
  2. Step 2: Convert to fraction form
    227,782,901.46/487,850,382.35 = 487,850,382.35/x
  3. Step 3: Cross multiply
    227,782,901.46x = 487,850,382.35 × 487,850,382.35
  4. Step 4: Simplify right side
    227,782,901.46x = 237,997,995,560,543,808
  5. Step 5: Solve for x
    x = 237,997,995,560,543,808/227,782,901.46
  6. Step 6: Final answer
    x = 1,044,845,745.81

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.