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Finding the Third Proportional to 7,138,961 and 10,724,266.50

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Solution

The third proportional to 7,138,961 and 10,724,266.50 is: 16,110,172.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,138,961 : 10,724,266.50 = 10,724,266.50 : x
  2. Step 2: Convert to fraction form
    7,138,961/10,724,266.50 = 10,724,266.50/x
  3. Step 3: Cross multiply
    7,138,961x = 10,724,266.50 × 10,724,266.50
  4. Step 4: Simplify right side
    7,138,961x = 115,009,891,963,022.25
  5. Step 5: Solve for x
    x = 115,009,891,963,022.25/7,138,961
  6. Step 6: Final answer
    x = 16,110,172.33

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Why These Related Problems?

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