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Finding the Third Proportional to 323,877,378 and 699,363,154.50

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Solution

The third proportional to 323,877,378 and 699,363,154.50 is: 1,510,166,671.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,877,378 : 699,363,154.50 = 699,363,154.50 : x
  2. Step 2: Convert to fraction form
    323,877,378/699,363,154.50 = 699,363,154.50/x
  3. Step 3: Cross multiply
    323,877,378x = 699,363,154.50 × 699,363,154.50
  4. Step 4: Simplify right side
    323,877,378x = 489,108,821,872,190,848
  5. Step 5: Solve for x
    x = 489,108,821,872,190,848/323,877,378
  6. Step 6: Final answer
    x = 1,510,166,671.39

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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.