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Finding the Third Proportional to 7,612,424 and 10,368,588

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Solution

The third proportional to 7,612,424 and 10,368,588 is: 14,122,652.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,612,424 : 10,368,588 = 10,368,588 : x
  2. Step 2: Convert to fraction form
    7,612,424/10,368,588 = 10,368,588/x
  3. Step 3: Cross multiply
    7,612,424x = 10,368,588 × 10,368,588
  4. Step 4: Simplify right side
    7,612,424x = 107,507,617,113,744
  5. Step 5: Solve for x
    x = 107,507,617,113,744/7,612,424
  6. Step 6: Final answer
    x = 14,122,652.27

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.