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Finding the Third Proportional to 324,806,456 and 766,510,265

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Solution

The third proportional to 324,806,456 and 766,510,265 is: 1,808,886,416.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,806,456 : 766,510,265 = 766,510,265 : x
  2. Step 2: Convert to fraction form
    324,806,456/766,510,265 = 766,510,265/x
  3. Step 3: Cross multiply
    324,806,456x = 766,510,265 × 766,510,265
  4. Step 4: Simplify right side
    324,806,456x = 587,537,986,350,370,176
  5. Step 5: Solve for x
    x = 587,537,986,350,370,176/324,806,456
  6. Step 6: Final answer
    x = 1,808,886,416.81

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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.