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Finding the Third Proportional to 307,931,986 and 637,691,196

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Solution

The third proportional to 307,931,986 and 637,691,196 is: 1,320,584,024.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,931,986 : 637,691,196 = 637,691,196 : x
  2. Step 2: Convert to fraction form
    307,931,986/637,691,196 = 637,691,196/x
  3. Step 3: Cross multiply
    307,931,986x = 637,691,196 × 637,691,196
  4. Step 4: Simplify right side
    307,931,986x = 406,650,061,455,910,400
  5. Step 5: Solve for x
    x = 406,650,061,455,910,400/307,931,986
  6. Step 6: Final answer
    x = 1,320,584,024.86

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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.