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Finding the Third Proportional to 330,957,424 and 533,260,572

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Solution

The third proportional to 330,957,424 and 533,260,572 is: 859,224,833.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,957,424 : 533,260,572 = 533,260,572 : x
  2. Step 2: Convert to fraction form
    330,957,424/533,260,572 = 533,260,572/x
  3. Step 3: Cross multiply
    330,957,424x = 533,260,572 × 533,260,572
  4. Step 4: Simplify right side
    330,957,424x = 284,366,837,649,767,168
  5. Step 5: Solve for x
    x = 284,366,837,649,767,168/330,957,424
  6. Step 6: Final answer
    x = 859,224,833.86

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.