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Finding the Third Proportional to 20,509,058 and 31,746,144

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Solution

The third proportional to 20,509,058 and 31,746,144 is: 49,140,124.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,509,058 : 31,746,144 = 31,746,144 : x
  2. Step 2: Convert to fraction form
    20,509,058/31,746,144 = 31,746,144/x
  3. Step 3: Cross multiply
    20,509,058x = 31,746,144 × 31,746,144
  4. Step 4: Simplify right side
    20,509,058x = 1,007,817,658,868,736
  5. Step 5: Solve for x
    x = 1,007,817,658,868,736/20,509,058
  6. Step 6: Final answer
    x = 49,140,124.27

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.