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Finding the Third Proportional to 7,586,460 and 16,432,632

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Solution

The third proportional to 7,586,460 and 16,432,632 is: 35,593,859.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,586,460 : 16,432,632 = 16,432,632 : x
  2. Step 2: Convert to fraction form
    7,586,460/16,432,632 = 16,432,632/x
  3. Step 3: Cross multiply
    7,586,460x = 16,432,632 × 16,432,632
  4. Step 4: Simplify right side
    7,586,460x = 270,031,394,447,424
  5. Step 5: Solve for x
    x = 270,031,394,447,424/7,586,460
  6. Step 6: Final answer
    x = 35,593,859.91

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.