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Finding the Third Proportional to 23,880,037.50 and 36,019,802.25

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Solution

The third proportional to 23,880,037.50 and 36,019,802.25 is: 54,330,993.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,880,037.50 : 36,019,802.25 = 36,019,802.25 : x
  2. Step 2: Convert to fraction form
    23,880,037.50/36,019,802.25 = 36,019,802.25/x
  3. Step 3: Cross multiply
    23,880,037.50x = 36,019,802.25 × 36,019,802.25
  4. Step 4: Simplify right side
    23,880,037.50x = 1,297,426,154,129,105
  5. Step 5: Solve for x
    x = 1,297,426,154,129,105/23,880,037.50
  6. Step 6: Final answer
    x = 54,330,993.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.