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Finding the Third Proportional to 307,932,226 and 637,691,683

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Solution

The third proportional to 307,932,226 and 637,691,683 is: 1,320,585,012.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,932,226 : 637,691,683 = 637,691,683 : x
  2. Step 2: Convert to fraction form
    307,932,226/637,691,683 = 637,691,683/x
  3. Step 3: Cross multiply
    307,932,226x = 637,691,683 × 637,691,683
  4. Step 4: Simplify right side
    307,932,226x = 406,650,682,567,372,480
  5. Step 5: Solve for x
    x = 406,650,682,567,372,480/307,932,226
  6. Step 6: Final answer
    x = 1,320,585,012.65

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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.