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Finding the Third Proportional to 7,751,857,330 and 17,004,490,916

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Solution

The third proportional to 7,751,857,330 and 17,004,490,916 is: 37,301,087,855.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,751,857,330 : 17,004,490,916 = 17,004,490,916 : x
  2. Step 2: Convert to fraction form
    7,751,857,330/17,004,490,916 = 17,004,490,916/x
  3. Step 3: Cross multiply
    7,751,857,330x = 17,004,490,916 × 17,004,490,916
  4. Step 4: Simplify right side
    7,751,857,330x = 289,152,711,312,326,524,928
  5. Step 5: Solve for x
    x = 289,152,711,312,326,524,928/7,751,857,330
  6. Step 6: Final answer
    x = 37,301,087,855.85

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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.