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Finding the Third Proportional to 322,020,103.50 and 707,301,976.50

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Solution

The third proportional to 322,020,103.50 and 707,301,976.50 is: 1,553,555,447.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,020,103.50 : 707,301,976.50 = 707,301,976.50 : x
  2. Step 2: Convert to fraction form
    322,020,103.50/707,301,976.50 = 707,301,976.50/x
  3. Step 3: Cross multiply
    322,020,103.50x = 707,301,976.50 × 707,301,976.50
  4. Step 4: Simplify right side
    322,020,103.50x = 500,276,085,960,806,528
  5. Step 5: Solve for x
    x = 500,276,085,960,806,528/322,020,103.50
  6. Step 6: Final answer
    x = 1,553,555,447.39

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