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Finding the Third Proportional to 1,219,090,194 and 2,671,084,404

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Solution

The third proportional to 1,219,090,194 and 2,671,084,404 is: 5,852,472,547.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219,090,194 : 2,671,084,404 = 2,671,084,404 : x
  2. Step 2: Convert to fraction form
    1,219,090,194/2,671,084,404 = 2,671,084,404/x
  3. Step 3: Cross multiply
    1,219,090,194x = 2,671,084,404 × 2,671,084,404
  4. Step 4: Simplify right side
    1,219,090,194x = 7,134,691,893,292,035,072
  5. Step 5: Solve for x
    x = 7,134,691,893,292,035,072/1,219,090,194
  6. Step 6: Final answer
    x = 5,852,472,547.48

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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.