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Finding the Third Proportional to 322,020,072 and 707,301,936

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Solution

The third proportional to 322,020,072 and 707,301,936 is: 1,553,555,421.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,020,072 : 707,301,936 = 707,301,936 : x
  2. Step 2: Convert to fraction form
    322,020,072/707,301,936 = 707,301,936/x
  3. Step 3: Cross multiply
    322,020,072x = 707,301,936 × 707,301,936
  4. Step 4: Simplify right side
    322,020,072x = 500,276,028,669,348,096
  5. Step 5: Solve for x
    x = 500,276,028,669,348,096/322,020,072
  6. Step 6: Final answer
    x = 1,553,555,421.44

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.