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Finding the Third Proportional to 10,864,072.50 and 16,297,405.88

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Solution

The third proportional to 10,864,072.50 and 16,297,405.88 is: 24,448,054.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,864,072.50 : 16,297,405.88 = 16,297,405.88 : x
  2. Step 2: Convert to fraction form
    10,864,072.50/16,297,405.88 = 16,297,405.88/x
  3. Step 3: Cross multiply
    10,864,072.50x = 16,297,405.88 × 16,297,405.88
  4. Step 4: Simplify right side
    10,864,072.50x = 265,605,438,254,484.50
  5. Step 5: Solve for x
    x = 265,605,438,254,484.50/10,864,072.50
  6. Step 6: Final answer
    x = 24,448,054.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.