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Finding the Third Proportional to 10,239,215.50 and 21,997,982

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Solution

The third proportional to 10,239,215.50 and 21,997,982 is: 47,260,575.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,239,215.50 : 21,997,982 = 21,997,982 : x
  2. Step 2: Convert to fraction form
    10,239,215.50/21,997,982 = 21,997,982/x
  3. Step 3: Cross multiply
    10,239,215.50x = 21,997,982 × 21,997,982
  4. Step 4: Simplify right side
    10,239,215.50x = 483,911,212,072,324
  5. Step 5: Solve for x
    x = 483,911,212,072,324/10,239,215.50
  6. Step 6: Final answer
    x = 47,260,575.00

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.