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Finding the Third Proportional to 864,840,415.25 and 1,291,593,393.25

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Solution

The third proportional to 864,840,415.25 and 1,291,593,393.25 is: 1,928,926,382.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    864,840,415.25 : 1,291,593,393.25 = 1,291,593,393.25 : x
  2. Step 2: Convert to fraction form
    864,840,415.25/1,291,593,393.25 = 1,291,593,393.25/x
  3. Step 3: Cross multiply
    864,840,415.25x = 1,291,593,393.25 × 1,291,593,393.25
  4. Step 4: Simplify right side
    864,840,415.25x = 1,668,213,493,487,049,216
  5. Step 5: Solve for x
    x = 1,668,213,493,487,049,216/864,840,415.25
  6. Step 6: Final answer
    x = 1,928,926,382.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.