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Finding the Third Proportional to 889,498,764,074.25 and 1,252,610,269,297.10

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Solution

The third proportional to 889,498,764,074.25 and 1,252,610,269,297.10 is: 1,763,951,283,711.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    889,498,764,074.25 : 1,252,610,269,297.10 = 1,252,610,269,297.10 : x
  2. Step 2: Convert to fraction form
    889,498,764,074.25/1,252,610,269,297.10 = 1,252,610,269,297.10/x
  3. Step 3: Cross multiply
    889,498,764,074.25x = 1,252,610,269,297.10 × 1,252,610,269,297.10
  4. Step 4: Simplify right side
    889,498,764,074.25x = 1,569,032,486,748,553,744,482,304
  5. Step 5: Solve for x
    x = 1,569,032,486,748,553,744,482,304/889,498,764,074.25
  6. Step 6: Final answer
    x = 1,763,951,283,711.49

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.