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Finding the Third Proportional to 1,420,879,094,732 and 3,068,221,674,856

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Solution

The third proportional to 1,420,879,094,732 and 3,068,221,674,856 is: 6,625,464,672,510.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,420,879,094,732 : 3,068,221,674,856 = 3,068,221,674,856 : x
  2. Step 2: Convert to fraction form
    1,420,879,094,732/3,068,221,674,856 = 3,068,221,674,856/x
  3. Step 3: Cross multiply
    1,420,879,094,732x = 3,068,221,674,856 × 3,068,221,674,856
  4. Step 4: Simplify right side
    1,420,879,094,732x = 9,413,984,246,056,157,498,572,800
  5. Step 5: Solve for x
    x = 9,413,984,246,056,157,498,572,800/1,420,879,094,732
  6. Step 6: Final answer
    x = 6,625,464,672,510.92

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.