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Finding the Third Proportional to 332,792,640 and 742,060,224

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Solution

The third proportional to 332,792,640 and 742,060,224 is: 1,654,644,093.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,792,640 : 742,060,224 = 742,060,224 : x
  2. Step 2: Convert to fraction form
    332,792,640/742,060,224 = 742,060,224/x
  3. Step 3: Cross multiply
    332,792,640x = 742,060,224 × 742,060,224
  4. Step 4: Simplify right side
    332,792,640x = 550,653,376,042,930,176
  5. Step 5: Solve for x
    x = 550,653,376,042,930,176/332,792,640
  6. Step 6: Final answer
    x = 1,654,644,093.22

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.