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Finding the Third Proportional to 7,174,247,770 and 10,098,519,356

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Solution

The third proportional to 7,174,247,770 and 10,098,519,356 is: 14,214,743,685.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,174,247,770 : 10,098,519,356 = 10,098,519,356 : x
  2. Step 2: Convert to fraction form
    7,174,247,770/10,098,519,356 = 10,098,519,356/x
  3. Step 3: Cross multiply
    7,174,247,770x = 10,098,519,356 × 10,098,519,356
  4. Step 4: Simplify right side
    7,174,247,770x = 101,980,093,183,506,661,376
  5. Step 5: Solve for x
    x = 101,980,093,183,506,661,376/7,174,247,770
  6. Step 6: Final answer
    x = 14,214,743,685.04

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.