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Finding the Third Proportional to 31,377,301.50 and 67,796,383.50

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Solution

The third proportional to 31,377,301.50 and 67,796,383.50 is: 146,486,453.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,377,301.50 : 67,796,383.50 = 67,796,383.50 : x
  2. Step 2: Convert to fraction form
    31,377,301.50/67,796,383.50 = 67,796,383.50/x
  3. Step 3: Cross multiply
    31,377,301.50x = 67,796,383.50 × 67,796,383.50
  4. Step 4: Simplify right side
    31,377,301.50x = 4,596,349,615,679,072
  5. Step 5: Solve for x
    x = 4,596,349,615,679,072/31,377,301.50
  6. Step 6: Final answer
    x = 146,486,453.45

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.