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Finding the Third Proportional to 1,522,850,616 and 2,054,683,026

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Solution

The third proportional to 1,522,850,616 and 2,054,683,026 is: 2,772,249,814.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,522,850,616 : 2,054,683,026 = 2,054,683,026 : x
  2. Step 2: Convert to fraction form
    1,522,850,616/2,054,683,026 = 2,054,683,026/x
  3. Step 3: Cross multiply
    1,522,850,616x = 2,054,683,026 × 2,054,683,026
  4. Step 4: Simplify right side
    1,522,850,616x = 4,221,722,337,332,516,864
  5. Step 5: Solve for x
    x = 4,221,722,337,332,516,864/1,522,850,616
  6. Step 6: Final answer
    x = 2,772,249,814.25

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.