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Finding the Third Proportional to 714,185,345,340 and 1,541,982,059,100

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Solution

The third proportional to 714,185,345,340 and 1,541,982,059,100 is: 3,329,259,954,857.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,185,345,340 : 1,541,982,059,100 = 1,541,982,059,100 : x
  2. Step 2: Convert to fraction form
    714,185,345,340/1,541,982,059,100 = 1,541,982,059,100/x
  3. Step 3: Cross multiply
    714,185,345,340x = 1,541,982,059,100 × 1,541,982,059,100
  4. Step 4: Simplify right side
    714,185,345,340x = 2,377,708,670,586,275,992,961,024
  5. Step 5: Solve for x
    x = 2,377,708,670,586,275,992,961,024/714,185,345,340
  6. Step 6: Final answer
    x = 3,329,259,954,857.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.