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Finding the Third Proportional to 755,355,217 and 1,625,501,906

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Solution

The third proportional to 755,355,217 and 1,625,501,906 is: 3,498,031,637.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    755,355,217 : 1,625,501,906 = 1,625,501,906 : x
  2. Step 2: Convert to fraction form
    755,355,217/1,625,501,906 = 1,625,501,906/x
  3. Step 3: Cross multiply
    755,355,217x = 1,625,501,906 × 1,625,501,906
  4. Step 4: Simplify right side
    755,355,217x = 2,642,256,446,409,632,768
  5. Step 5: Solve for x
    x = 2,642,256,446,409,632,768/755,355,217
  6. Step 6: Final answer
    x = 3,498,031,637.23

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.