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Finding the Third Proportional to 14,302,070 and 31,277,884

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Solution

The third proportional to 14,302,070 and 31,277,884 is: 68,403,107.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,302,070 : 31,277,884 = 31,277,884 : x
  2. Step 2: Convert to fraction form
    14,302,070/31,277,884 = 31,277,884/x
  3. Step 3: Cross multiply
    14,302,070x = 31,277,884 × 31,277,884
  4. Step 4: Simplify right side
    14,302,070x = 978,306,027,517,456
  5. Step 5: Solve for x
    x = 978,306,027,517,456/14,302,070
  6. Step 6: Final answer
    x = 68,403,107.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.