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Finding the Third Proportional to 22,388,663,472 and 48,994,860,384

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Solution

The third proportional to 22,388,663,472 and 48,994,860,384 is: 107,219,278,500.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,388,663,472 : 48,994,860,384 = 48,994,860,384 : x
  2. Step 2: Convert to fraction form
    22,388,663,472/48,994,860,384 = 48,994,860,384/x
  3. Step 3: Cross multiply
    22,388,663,472x = 48,994,860,384 × 48,994,860,384
  4. Step 4: Simplify right side
    22,388,663,472x = 2,400,496,344,047,652,700,160
  5. Step 5: Solve for x
    x = 2,400,496,344,047,652,700,160/22,388,663,472
  6. Step 6: Final answer
    x = 107,219,278,500.02

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.