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Finding the Third Proportional to 7,856,665,156 and 17,021,026,708

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Solution

The third proportional to 7,856,665,156 and 17,021,026,708 is: 36,875,104,696.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,856,665,156 : 17,021,026,708 = 17,021,026,708 : x
  2. Step 2: Convert to fraction form
    7,856,665,156/17,021,026,708 = 17,021,026,708/x
  3. Step 3: Cross multiply
    7,856,665,156x = 17,021,026,708 × 17,021,026,708
  4. Step 4: Simplify right side
    7,856,665,156x = 289,715,350,194,449,317,888
  5. Step 5: Solve for x
    x = 289,715,350,194,449,317,888/7,856,665,156
  6. Step 6: Final answer
    x = 36,875,104,696.70

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.