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Finding the Third Proportional to 21,000,969 and 31,502,016

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Solution

The third proportional to 21,000,969 and 31,502,016 is: 47,253,867.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,000,969 : 31,502,016 = 31,502,016 : x
  2. Step 2: Convert to fraction form
    21,000,969/31,502,016 = 31,502,016/x
  3. Step 3: Cross multiply
    21,000,969x = 31,502,016 × 31,502,016
  4. Step 4: Simplify right side
    21,000,969x = 992,377,012,064,256
  5. Step 5: Solve for x
    x = 992,377,012,064,256/21,000,969
  6. Step 6: Final answer
    x = 47,253,867.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.