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Finding the Third Proportional to 324,806,460 and 766,510,275

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Solution

The third proportional to 324,806,460 and 766,510,275 is: 1,808,886,441.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,806,460 : 766,510,275 = 766,510,275 : x
  2. Step 2: Convert to fraction form
    324,806,460/766,510,275 = 766,510,275/x
  3. Step 3: Cross multiply
    324,806,460x = 766,510,275 × 766,510,275
  4. Step 4: Simplify right side
    324,806,460x = 587,538,001,680,575,616
  5. Step 5: Solve for x
    x = 587,538,001,680,575,616/324,806,460
  6. Step 6: Final answer
    x = 1,808,886,441.73

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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.