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Finding the Third Proportional to 408,531,316.50 and 846,131,658.75

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Solution

The third proportional to 408,531,316.50 and 846,131,658.75 is: 1,752,469,774.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,531,316.50 : 846,131,658.75 = 846,131,658.75 : x
  2. Step 2: Convert to fraction form
    408,531,316.50/846,131,658.75 = 846,131,658.75/x
  3. Step 3: Cross multiply
    408,531,316.50x = 846,131,658.75 × 846,131,658.75
  4. Step 4: Simplify right side
    408,531,316.50x = 715,938,783,939,026,432
  5. Step 5: Solve for x
    x = 715,938,783,939,026,432/408,531,316.50
  6. Step 6: Final answer
    x = 1,752,469,774.10

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.