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Finding the Third Proportional to 37,613,972 and 51,973,966

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Solution

The third proportional to 37,613,972 and 51,973,966 is: 71,816,216.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,613,972 : 51,973,966 = 51,973,966 : x
  2. Step 2: Convert to fraction form
    37,613,972/51,973,966 = 51,973,966/x
  3. Step 3: Cross multiply
    37,613,972x = 51,973,966 × 51,973,966
  4. Step 4: Simplify right side
    37,613,972x = 2,701,293,141,769,156
  5. Step 5: Solve for x
    x = 2,701,293,141,769,156/37,613,972
  6. Step 6: Final answer
    x = 71,816,216.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.