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Finding the Third Proportional to 324,806,456.25 and 766,510,266.38

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Solution

The third proportional to 324,806,456.25 and 766,510,266.38 is: 1,808,886,421.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,806,456.25 : 766,510,266.38 = 766,510,266.38 : x
  2. Step 2: Convert to fraction form
    324,806,456.25/766,510,266.38 = 766,510,266.38/x
  3. Step 3: Cross multiply
    324,806,456.25x = 766,510,266.38 × 766,510,266.38
  4. Step 4: Simplify right side
    324,806,456.25x = 587,537,988,458,273,408
  5. Step 5: Solve for x
    x = 587,537,988,458,273,408/324,806,456.25
  6. Step 6: Final answer
    x = 1,808,886,421.91

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.