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Finding the Third Proportional to 1,392,399,801 and 2,088,599,953.50

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Solution

The third proportional to 1,392,399,801 and 2,088,599,953.50 is: 3,132,900,308.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,392,399,801 : 2,088,599,953.50 = 2,088,599,953.50 : x
  2. Step 2: Convert to fraction form
    1,392,399,801/2,088,599,953.50 = 2,088,599,953.50/x
  3. Step 3: Cross multiply
    1,392,399,801x = 2,088,599,953.50 × 2,088,599,953.50
  4. Step 4: Simplify right side
    1,392,399,801x = 4,362,249,765,760,202,240
  5. Step 5: Solve for x
    x = 4,362,249,765,760,202,240/1,392,399,801
  6. Step 6: Final answer
    x = 3,132,900,308.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.