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Finding the Third Proportional to 720,944,127 and 1,480,107,719

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Solution

The third proportional to 720,944,127 and 1,480,107,719 is: 3,038,680,499.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    720,944,127 : 1,480,107,719 = 1,480,107,719 : x
  2. Step 2: Convert to fraction form
    720,944,127/1,480,107,719 = 1,480,107,719/x
  3. Step 3: Cross multiply
    720,944,127x = 1,480,107,719 × 1,480,107,719
  4. Step 4: Simplify right side
    720,944,127x = 2,190,718,859,843,383,040
  5. Step 5: Solve for x
    x = 2,190,718,859,843,383,040/720,944,127
  6. Step 6: Final answer
    x = 3,038,680,499.36

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.