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Finding the Third Proportional to 20,509,074 and 31,746,168

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Solution

The third proportional to 20,509,074 and 31,746,168 is: 49,140,160.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,509,074 : 31,746,168 = 31,746,168 : x
  2. Step 2: Convert to fraction form
    20,509,074/31,746,168 = 31,746,168/x
  3. Step 3: Cross multiply
    20,509,074x = 31,746,168 × 31,746,168
  4. Step 4: Simplify right side
    20,509,074x = 1,007,819,182,684,224
  5. Step 5: Solve for x
    x = 1,007,819,182,684,224/20,509,074
  6. Step 6: Final answer
    x = 49,140,160.24

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