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Finding the Third Proportional to 7,858,313 and 17,177,509

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Solution

The third proportional to 7,858,313 and 17,177,509 is: 37,548,366.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,858,313 : 17,177,509 = 17,177,509 : x
  2. Step 2: Convert to fraction form
    7,858,313/17,177,509 = 17,177,509/x
  3. Step 3: Cross multiply
    7,858,313x = 17,177,509 × 17,177,509
  4. Step 4: Simplify right side
    7,858,313x = 295,066,815,445,081
  5. Step 5: Solve for x
    x = 295,066,815,445,081/7,858,313
  6. Step 6: Final answer
    x = 37,548,366.35

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.