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Finding the Third Proportional to 115,511,132,598 and 246,918,949,815

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Solution

The third proportional to 115,511,132,598 and 246,918,949,815 is: 527,818,976,461.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,511,132,598 : 246,918,949,815 = 246,918,949,815 : x
  2. Step 2: Convert to fraction form
    115,511,132,598/246,918,949,815 = 246,918,949,815/x
  3. Step 3: Cross multiply
    115,511,132,598x = 246,918,949,815 × 246,918,949,815
  4. Step 4: Simplify right side
    115,511,132,598x = 60,968,967,777,742,485,454,848
  5. Step 5: Solve for x
    x = 60,968,967,777,742,485,454,848/115,511,132,598
  6. Step 6: Final answer
    x = 527,818,976,461.13

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.