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Finding the Third Proportional to 12,932,264 and 20,286,813

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Solution

The third proportional to 12,932,264 and 20,286,813 is: 31,823,877.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,932,264 : 20,286,813 = 20,286,813 : x
  2. Step 2: Convert to fraction form
    12,932,264/20,286,813 = 20,286,813/x
  3. Step 3: Cross multiply
    12,932,264x = 20,286,813 × 20,286,813
  4. Step 4: Simplify right side
    12,932,264x = 411,554,781,696,969
  5. Step 5: Solve for x
    x = 411,554,781,696,969/12,932,264
  6. Step 6: Final answer
    x = 31,823,877.22

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.