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Finding the Third Proportional to 322,020,080 and 707,301,932

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Solution

The third proportional to 322,020,080 and 707,301,932 is: 1,553,555,365.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,020,080 : 707,301,932 = 707,301,932 : x
  2. Step 2: Convert to fraction form
    322,020,080/707,301,932 = 707,301,932/x
  3. Step 3: Cross multiply
    322,020,080x = 707,301,932 × 707,301,932
  4. Step 4: Simplify right side
    322,020,080x = 500,276,023,010,932,608
  5. Step 5: Solve for x
    x = 500,276,023,010,932,608/322,020,080
  6. Step 6: Final answer
    x = 1,553,555,365.28

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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.