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Finding the Third Proportional to 10,137,501 and 20,993,215.50

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Solution

The third proportional to 10,137,501 and 20,993,215.50 is: 43,473,741.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,137,501 : 20,993,215.50 = 20,993,215.50 : x
  2. Step 2: Convert to fraction form
    10,137,501/20,993,215.50 = 20,993,215.50/x
  3. Step 3: Cross multiply
    10,137,501x = 20,993,215.50 × 20,993,215.50
  4. Step 4: Simplify right side
    10,137,501x = 440,715,097,029,440.25
  5. Step 5: Solve for x
    x = 440,715,097,029,440.25/10,137,501
  6. Step 6: Final answer
    x = 43,473,741.41

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.