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Finding the Third Proportional to 5,298,201 and 11,443,313

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Solution

The third proportional to 5,298,201 and 11,443,313 is: 24,715,825.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,298,201 : 11,443,313 = 11,443,313 : x
  2. Step 2: Convert to fraction form
    5,298,201/11,443,313 = 11,443,313/x
  3. Step 3: Cross multiply
    5,298,201x = 11,443,313 × 11,443,313
  4. Step 4: Simplify right side
    5,298,201x = 130,949,412,415,969
  5. Step 5: Solve for x
    x = 130,949,412,415,969/5,298,201
  6. Step 6: Final answer
    x = 24,715,825.70

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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.