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Finding the Third Proportional to 77,574,222 and 115,688,625

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Solution

The third proportional to 77,574,222 and 115,688,625 is: 172,529,709.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,574,222 : 115,688,625 = 115,688,625 : x
  2. Step 2: Convert to fraction form
    77,574,222/115,688,625 = 115,688,625/x
  3. Step 3: Cross multiply
    77,574,222x = 115,688,625 × 115,688,625
  4. Step 4: Simplify right side
    77,574,222x = 13,383,857,954,390,624
  5. Step 5: Solve for x
    x = 13,383,857,954,390,624/77,574,222
  6. Step 6: Final answer
    x = 172,529,709.09

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.