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Finding the Third Proportional to 7,224,018 and 9,905,964

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Solution

The third proportional to 7,224,018 and 9,905,964 is: 13,583,593.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,224,018 : 9,905,964 = 9,905,964 : x
  2. Step 2: Convert to fraction form
    7,224,018/9,905,964 = 9,905,964/x
  3. Step 3: Cross multiply
    7,224,018x = 9,905,964 × 9,905,964
  4. Step 4: Simplify right side
    7,224,018x = 98,128,122,769,296
  5. Step 5: Solve for x
    x = 98,128,122,769,296/7,224,018
  6. Step 6: Final answer
    x = 13,583,593.34

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.