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Finding the Third Proportional to 84,739,370 and 179,648,136

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Solution

The third proportional to 84,739,370 and 179,648,136 is: 380,855,472.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,739,370 : 179,648,136 = 179,648,136 : x
  2. Step 2: Convert to fraction form
    84,739,370/179,648,136 = 179,648,136/x
  3. Step 3: Cross multiply
    84,739,370x = 179,648,136 × 179,648,136
  4. Step 4: Simplify right side
    84,739,370x = 32,273,452,768,274,496
  5. Step 5: Solve for x
    x = 32,273,452,768,274,496/84,739,370
  6. Step 6: Final answer
    x = 380,855,472.12

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.