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Finding the Third Proportional to 307,931,984 and 637,691,192

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Solution

The third proportional to 307,931,984 and 637,691,192 is: 1,320,584,016.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,931,984 : 637,691,192 = 637,691,192 : x
  2. Step 2: Convert to fraction form
    307,931,984/637,691,192 = 637,691,192/x
  3. Step 3: Cross multiply
    307,931,984x = 637,691,192 × 637,691,192
  4. Step 4: Simplify right side
    307,931,984x = 406,650,056,354,380,864
  5. Step 5: Solve for x
    x = 406,650,056,354,380,864/307,931,984
  6. Step 6: Final answer
    x = 1,320,584,016.87

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.