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Finding the Third Proportional to 8,177,526,280 and 17,787,839,516

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Solution

The third proportional to 8,177,526,280 and 17,787,839,516 is: 38,692,291,997.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,177,526,280 : 17,787,839,516 = 17,787,839,516 : x
  2. Step 2: Convert to fraction form
    8,177,526,280/17,787,839,516 = 17,787,839,516/x
  3. Step 3: Cross multiply
    8,177,526,280x = 17,787,839,516 × 17,787,839,516
  4. Step 4: Simplify right side
    8,177,526,280x = 316,407,234,646,971,121,664
  5. Step 5: Solve for x
    x = 316,407,234,646,971,121,664/8,177,526,280
  6. Step 6: Final answer
    x = 38,692,291,997.99

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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.