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Finding the Third Proportional to 723,755,796 and 1,580,239,603.50

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Solution

The third proportional to 723,755,796 and 1,580,239,603.50 is: 3,450,275,933.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    723,755,796 : 1,580,239,603.50 = 1,580,239,603.50 : x
  2. Step 2: Convert to fraction form
    723,755,796/1,580,239,603.50 = 1,580,239,603.50/x
  3. Step 3: Cross multiply
    723,755,796x = 1,580,239,603.50 × 1,580,239,603.50
  4. Step 4: Simplify right side
    723,755,796x = 2,497,157,204,469,837,312
  5. Step 5: Solve for x
    x = 2,497,157,204,469,837,312/723,755,796
  6. Step 6: Final answer
    x = 3,450,275,933.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.