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Finding the Third Proportional to 735,472,446,868 and 1,035,255,957,966

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Solution

The third proportional to 735,472,446,868 and 1,035,255,957,966 is: 1,457,233,242,479.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    735,472,446,868 : 1,035,255,957,966 = 1,035,255,957,966 : x
  2. Step 2: Convert to fraction form
    735,472,446,868/1,035,255,957,966 = 1,035,255,957,966/x
  3. Step 3: Cross multiply
    735,472,446,868x = 1,035,255,957,966 × 1,035,255,957,966
  4. Step 4: Simplify right side
    735,472,446,868x = 1,071,754,898,504,100,375,166,976
  5. Step 5: Solve for x
    x = 1,071,754,898,504,100,375,166,976/735,472,446,868
  6. Step 6: Final answer
    x = 1,457,233,242,479.93

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.