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Finding the Third Proportional to 10,226,803.50 and 21,871,998

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Solution

The third proportional to 10,226,803.50 and 21,871,998 is: 46,777,499.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,226,803.50 : 21,871,998 = 21,871,998 : x
  2. Step 2: Convert to fraction form
    10,226,803.50/21,871,998 = 21,871,998/x
  3. Step 3: Cross multiply
    10,226,803.50x = 21,871,998 × 21,871,998
  4. Step 4: Simplify right side
    10,226,803.50x = 478,384,296,512,004
  5. Step 5: Solve for x
    x = 478,384,296,512,004/10,226,803.50
  6. Step 6: Final answer
    x = 46,777,499.59

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.