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Finding the Third Proportional to 33,442,944 and 48,873,984

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Solution

The third proportional to 33,442,944 and 48,873,984 is: 71,425,120.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,442,944 : 48,873,984 = 48,873,984 : x
  2. Step 2: Convert to fraction form
    33,442,944/48,873,984 = 48,873,984/x
  3. Step 3: Cross multiply
    33,442,944x = 48,873,984 × 48,873,984
  4. Step 4: Simplify right side
    33,442,944x = 2,388,666,312,032,256
  5. Step 5: Solve for x
    x = 2,388,666,312,032,256/33,442,944
  6. Step 6: Final answer
    x = 71,425,120.71

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.