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Finding the Third Proportional to 365,483,370 and 797,940,744

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Solution

The third proportional to 365,483,370 and 797,940,744 is: 1,742,102,331.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,483,370 : 797,940,744 = 797,940,744 : x
  2. Step 2: Convert to fraction form
    365,483,370/797,940,744 = 797,940,744/x
  3. Step 3: Cross multiply
    365,483,370x = 797,940,744 × 797,940,744
  4. Step 4: Simplify right side
    365,483,370x = 636,709,430,935,273,472
  5. Step 5: Solve for x
    x = 636,709,430,935,273,472/365,483,370
  6. Step 6: Final answer
    x = 1,742,102,331.32

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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.