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Finding the Third Proportional to 207,318,720 and 479,955,936

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Solution

The third proportional to 207,318,720 and 479,955,936 is: 1,111,128,317.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,318,720 : 479,955,936 = 479,955,936 : x
  2. Step 2: Convert to fraction form
    207,318,720/479,955,936 = 479,955,936/x
  3. Step 3: Cross multiply
    207,318,720x = 479,955,936 × 479,955,936
  4. Step 4: Simplify right side
    207,318,720x = 230,357,700,501,636,096
  5. Step 5: Solve for x
    x = 230,357,700,501,636,096/207,318,720
  6. Step 6: Final answer
    x = 1,111,128,317.32

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.