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Finding the Third Proportional to 32,830,898,640 and 66,575,355,384

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Solution

The third proportional to 32,830,898,640 and 66,575,355,384 is: 135,003,247,797.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,830,898,640 : 66,575,355,384 = 66,575,355,384 : x
  2. Step 2: Convert to fraction form
    32,830,898,640/66,575,355,384 = 66,575,355,384/x
  3. Step 3: Cross multiply
    32,830,898,640x = 66,575,355,384 × 66,575,355,384
  4. Step 4: Simplify right side
    32,830,898,640x = 4,432,277,944,505,897,844,736
  5. Step 5: Solve for x
    x = 4,432,277,944,505,897,844,736/32,830,898,640
  6. Step 6: Final answer
    x = 135,003,247,797.36

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.