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Finding the Third Proportional to 231,107,687 and 470,286,622

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Solution

The third proportional to 231,107,687 and 470,286,622 is: 956,997,621.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,107,687 : 470,286,622 = 470,286,622 : x
  2. Step 2: Convert to fraction form
    231,107,687/470,286,622 = 470,286,622/x
  3. Step 3: Cross multiply
    231,107,687x = 470,286,622 × 470,286,622
  4. Step 4: Simplify right side
    231,107,687x = 221,169,506,832,170,880
  5. Step 5: Solve for x
    x = 221,169,506,832,170,880/231,107,687
  6. Step 6: Final answer
    x = 956,997,621.77

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.