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Finding the Third Proportional to 36,596,223 and 76,966,506

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Solution

The third proportional to 36,596,223 and 76,966,506 is: 161,870,339.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,596,223 : 76,966,506 = 76,966,506 : x
  2. Step 2: Convert to fraction form
    36,596,223/76,966,506 = 76,966,506/x
  3. Step 3: Cross multiply
    36,596,223x = 76,966,506 × 76,966,506
  4. Step 4: Simplify right side
    36,596,223x = 5,923,843,045,848,036
  5. Step 5: Solve for x
    x = 5,923,843,045,848,036/36,596,223
  6. Step 6: Final answer
    x = 161,870,339.62

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.