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Finding the Third Proportional to 22,008,148,752 and 48,339,857,616

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Solution

The third proportional to 22,008,148,752 and 48,339,857,616 is: 106,176,210,487.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,008,148,752 : 48,339,857,616 = 48,339,857,616 : x
  2. Step 2: Convert to fraction form
    22,008,148,752/48,339,857,616 = 48,339,857,616/x
  3. Step 3: Cross multiply
    22,008,148,752x = 48,339,857,616 × 48,339,857,616
  4. Step 4: Simplify right side
    22,008,148,752x = 2,336,741,834,335,153,291,264
  5. Step 5: Solve for x
    x = 2,336,741,834,335,153,291,264/22,008,148,752
  6. Step 6: Final answer
    x = 106,176,210,487.62

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.