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Finding the Third Proportional to 75,872,624 and 179,048,362

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Solution

The third proportional to 75,872,624 and 179,048,362 is: 422,528,103.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,872,624 : 179,048,362 = 179,048,362 : x
  2. Step 2: Convert to fraction form
    75,872,624/179,048,362 = 179,048,362/x
  3. Step 3: Cross multiply
    75,872,624x = 179,048,362 × 179,048,362
  4. Step 4: Simplify right side
    75,872,624x = 32,058,315,934,883,044
  5. Step 5: Solve for x
    x = 32,058,315,934,883,044/75,872,624
  6. Step 6: Final answer
    x = 422,528,103.61

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.