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Finding the Third Proportional to 748,602,392.50 and 1,669,332,377

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Solution

The third proportional to 748,602,392.50 and 1,669,332,377 is: 3,722,497,567.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    748,602,392.50 : 1,669,332,377 = 1,669,332,377 : x
  2. Step 2: Convert to fraction form
    748,602,392.50/1,669,332,377 = 1,669,332,377/x
  3. Step 3: Cross multiply
    748,602,392.50x = 1,669,332,377 × 1,669,332,377
  4. Step 4: Simplify right side
    748,602,392.50x = 2,786,670,584,900,470,272
  5. Step 5: Solve for x
    x = 2,786,670,584,900,470,272/748,602,392.50
  6. Step 6: Final answer
    x = 3,722,497,567.23

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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.