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Finding the Third Proportional to 179,847,456 and 424,413,168

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Solution

The third proportional to 179,847,456 and 424,413,168 is: 1,001,551,766.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,847,456 : 424,413,168 = 424,413,168 : x
  2. Step 2: Convert to fraction form
    179,847,456/424,413,168 = 424,413,168/x
  3. Step 3: Cross multiply
    179,847,456x = 424,413,168 × 424,413,168
  4. Step 4: Simplify right side
    179,847,456x = 180,126,537,171,796,224
  5. Step 5: Solve for x
    x = 180,126,537,171,796,224/179,847,456
  6. Step 6: Final answer
    x = 1,001,551,766.02

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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.