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Finding the Third Proportional to 64,982,671 and 142,718,062

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Solution

The third proportional to 64,982,671 and 142,718,062 is: 313,444,259.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,982,671 : 142,718,062 = 142,718,062 : x
  2. Step 2: Convert to fraction form
    64,982,671/142,718,062 = 142,718,062/x
  3. Step 3: Cross multiply
    64,982,671x = 142,718,062 × 142,718,062
  4. Step 4: Simplify right side
    64,982,671x = 20,368,445,221,035,844
  5. Step 5: Solve for x
    x = 20,368,445,221,035,844/64,982,671
  6. Step 6: Final answer
    x = 313,444,259.95

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.