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Finding the Third Proportional to 22,077,716,360 and 48,151,267,028

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Solution

The third proportional to 22,077,716,360 and 48,151,267,028 is: 105,017,406,628.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,077,716,360 : 48,151,267,028 = 48,151,267,028 : x
  2. Step 2: Convert to fraction form
    22,077,716,360/48,151,267,028 = 48,151,267,028/x
  3. Step 3: Cross multiply
    22,077,716,360x = 48,151,267,028 × 48,151,267,028
  4. Step 4: Simplify right side
    22,077,716,360x = 2,318,544,516,401,760,043,008
  5. Step 5: Solve for x
    x = 2,318,544,516,401,760,043,008/22,077,716,360
  6. Step 6: Final answer
    x = 105,017,406,628.27

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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.