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Finding the Third Proportional to 5,299,238 and 11,437,798

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Solution

The third proportional to 5,299,238 and 11,437,798 is: 24,687,176.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,299,238 : 11,437,798 = 11,437,798 : x
  2. Step 2: Convert to fraction form
    5,299,238/11,437,798 = 11,437,798/x
  3. Step 3: Cross multiply
    5,299,238x = 11,437,798 × 11,437,798
  4. Step 4: Simplify right side
    5,299,238x = 130,823,223,088,804
  5. Step 5: Solve for x
    x = 130,823,223,088,804/5,299,238
  6. Step 6: Final answer
    x = 24,687,176.36

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.