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Finding the Third Proportional to 463,754,900 and 1,000,145,832

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Solution

The third proportional to 463,754,900 and 1,000,145,832 is: 2,156,940,412.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,754,900 : 1,000,145,832 = 1,000,145,832 : x
  2. Step 2: Convert to fraction form
    463,754,900/1,000,145,832 = 1,000,145,832/x
  3. Step 3: Cross multiply
    463,754,900x = 1,000,145,832 × 1,000,145,832
  4. Step 4: Simplify right side
    463,754,900x = 1,000,291,685,266,972,160
  5. Step 5: Solve for x
    x = 1,000,291,685,266,972,160/463,754,900
  6. Step 6: Final answer
    x = 2,156,940,412.42

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.