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Finding the Third Proportional to 7,610,116,185 and 16,716,770,226

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Solution

The third proportional to 7,610,116,185 and 16,716,770,226 is: 36,720,912,006.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,610,116,185 : 16,716,770,226 = 16,716,770,226 : x
  2. Step 2: Convert to fraction form
    7,610,116,185/16,716,770,226 = 16,716,770,226/x
  3. Step 3: Cross multiply
    7,610,116,185x = 16,716,770,226 × 16,716,770,226
  4. Step 4: Simplify right side
    7,610,116,185x = 279,450,406,788,880,105,472
  5. Step 5: Solve for x
    x = 279,450,406,788,880,105,472/7,610,116,185
  6. Step 6: Final answer
    x = 36,720,912,006.53

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.