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Finding the Third Proportional to 22,656,240 and 48,922,543.69

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Solution

The third proportional to 22,656,240 and 48,922,543.69 is: 105,640,445.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,656,240 : 48,922,543.69 = 48,922,543.69 : x
  2. Step 2: Convert to fraction form
    22,656,240/48,922,543.69 = 48,922,543.69/x
  3. Step 3: Cross multiply
    22,656,240x = 48,922,543.69 × 48,922,543.69
  4. Step 4: Simplify right side
    22,656,240x = 2,393,415,280,855,346
  5. Step 5: Solve for x
    x = 2,393,415,280,855,346/22,656,240
  6. Step 6: Final answer
    x = 105,640,445.23

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.