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Finding the Third Proportional to 397,735,738 and 937,573,735

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Solution

The third proportional to 397,735,738 and 937,573,735 is: 2,210,122,009.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,735,738 : 937,573,735 = 937,573,735 : x
  2. Step 2: Convert to fraction form
    397,735,738/937,573,735 = 937,573,735/x
  3. Step 3: Cross multiply
    397,735,738x = 937,573,735 × 937,573,735
  4. Step 4: Simplify right side
    397,735,738x = 879,044,508,561,850,240
  5. Step 5: Solve for x
    x = 879,044,508,561,850,240/397,735,738
  6. Step 6: Final answer
    x = 2,210,122,009.61

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.