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Finding the Third Proportional to 47,018,913 and 99,726,963

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Solution

The third proportional to 47,018,913 and 99,726,963 is: 211,520,567.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,018,913 : 99,726,963 = 99,726,963 : x
  2. Step 2: Convert to fraction form
    47,018,913/99,726,963 = 99,726,963/x
  3. Step 3: Cross multiply
    47,018,913x = 99,726,963 × 99,726,963
  4. Step 4: Simplify right side
    47,018,913x = 9,945,467,149,203,368
  5. Step 5: Solve for x
    x = 9,945,467,149,203,368/47,018,913
  6. Step 6: Final answer
    x = 211,520,567.25

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.