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Finding the Third Proportional to 1,219,090,180 and 2,671,084,380

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Solution

The third proportional to 1,219,090,180 and 2,671,084,380 is: 5,852,472,509.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219,090,180 : 2,671,084,380 = 2,671,084,380 : x
  2. Step 2: Convert to fraction form
    1,219,090,180/2,671,084,380 = 2,671,084,380/x
  3. Step 3: Cross multiply
    1,219,090,180x = 2,671,084,380 × 2,671,084,380
  4. Step 4: Simplify right side
    1,219,090,180x = 7,134,691,765,079,984,128
  5. Step 5: Solve for x
    x = 7,134,691,765,079,984,128/1,219,090,180
  6. Step 6: Final answer
    x = 5,852,472,509.52

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.