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Finding the Third Proportional to 77,744,133 and 179,982,507

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Solution

The third proportional to 77,744,133 and 179,982,507 is: 416,670,706.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,744,133 : 179,982,507 = 179,982,507 : x
  2. Step 2: Convert to fraction form
    77,744,133/179,982,507 = 179,982,507/x
  3. Step 3: Cross multiply
    77,744,133x = 179,982,507 × 179,982,507
  4. Step 4: Simplify right side
    77,744,133x = 32,393,702,826,005,048
  5. Step 5: Solve for x
    x = 32,393,702,826,005,048/77,744,133
  6. Step 6: Final answer
    x = 416,670,706.53

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.