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Finding the Third Proportional to 50,269,671,920 and 109,365,197,776

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Solution

The third proportional to 50,269,671,920 and 109,365,197,776 is: 237,931,659,940.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,269,671,920 : 109,365,197,776 = 109,365,197,776 : x
  2. Step 2: Convert to fraction form
    50,269,671,920/109,365,197,776 = 109,365,197,776/x
  3. Step 3: Cross multiply
    50,269,671,920x = 109,365,197,776 × 109,365,197,776
  4. Step 4: Simplify right side
    50,269,671,920x = 11,960,746,484,583,595,245,568
  5. Step 5: Solve for x
    x = 11,960,746,484,583,595,245,568/50,269,671,920
  6. Step 6: Final answer
    x = 237,931,659,940.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.