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Finding the Third Proportional to 332,792,138 and 742,059,364

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Solution

The third proportional to 332,792,138 and 742,059,364 is: 1,654,642,753.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,792,138 : 742,059,364 = 742,059,364 : x
  2. Step 2: Convert to fraction form
    332,792,138/742,059,364 = 742,059,364/x
  3. Step 3: Cross multiply
    332,792,138x = 742,059,364 × 742,059,364
  4. Step 4: Simplify right side
    332,792,138x = 550,652,099,700,084,480
  5. Step 5: Solve for x
    x = 550,652,099,700,084,480/332,792,138
  6. Step 6: Final answer
    x = 1,654,642,753.91

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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.