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Finding the Third Proportional to 22,077,716,362 and 48,151,267,032

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Solution

The third proportional to 22,077,716,362 and 48,151,267,032 is: 105,017,406,636.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,077,716,362 : 48,151,267,032 = 48,151,267,032 : x
  2. Step 2: Convert to fraction form
    22,077,716,362/48,151,267,032 = 48,151,267,032/x
  3. Step 3: Cross multiply
    22,077,716,362x = 48,151,267,032 × 48,151,267,032
  4. Step 4: Simplify right side
    22,077,716,362x = 2,318,544,516,786,970,165,248
  5. Step 5: Solve for x
    x = 2,318,544,516,786,970,165,248/22,077,716,362
  6. Step 6: Final answer
    x = 105,017,406,636.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.