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Finding the Third Proportional to 7,751,857,221 and 17,004,490,695

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Solution

The third proportional to 7,751,857,221 and 17,004,490,695 is: 37,301,087,410.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,751,857,221 : 17,004,490,695 = 17,004,490,695 : x
  2. Step 2: Convert to fraction form
    7,751,857,221/17,004,490,695 = 17,004,490,695/x
  3. Step 3: Cross multiply
    7,751,857,221x = 17,004,490,695 × 17,004,490,695
  4. Step 4: Simplify right side
    7,751,857,221x = 289,152,703,796,341,571,584
  5. Step 5: Solve for x
    x = 289,152,703,796,341,571,584/7,751,857,221
  6. Step 6: Final answer
    x = 37,301,087,410.77

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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.