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Finding the Third Proportional to 174,361,713 and 376,460,604

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Solution

The third proportional to 174,361,713 and 376,460,604 is: 812,807,949.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,361,713 : 376,460,604 = 376,460,604 : x
  2. Step 2: Convert to fraction form
    174,361,713/376,460,604 = 376,460,604/x
  3. Step 3: Cross multiply
    174,361,713x = 376,460,604 × 376,460,604
  4. Step 4: Simplify right side
    174,361,713x = 141,722,586,364,044,816
  5. Step 5: Solve for x
    x = 141,722,586,364,044,816/174,361,713
  6. Step 6: Final answer
    x = 812,807,949.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.