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Finding the Third Proportional to 406,825,137 and 883,003,416.75

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Solution

The third proportional to 406,825,137 and 883,003,416.75 is: 1,916,536,032.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,825,137 : 883,003,416.75 = 883,003,416.75 : x
  2. Step 2: Convert to fraction form
    406,825,137/883,003,416.75 = 883,003,416.75/x
  3. Step 3: Cross multiply
    406,825,137x = 883,003,416.75 × 883,003,416.75
  4. Step 4: Simplify right side
    406,825,137x = 779,695,033,992,174,208
  5. Step 5: Solve for x
    x = 779,695,033,992,174,208/406,825,137
  6. Step 6: Final answer
    x = 1,916,536,032.51

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.