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Finding the Third Proportional to 22,457,920 and 49,393,792

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Solution

The third proportional to 22,457,920 and 49,393,792 is: 108,636,360.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,457,920 : 49,393,792 = 49,393,792 : x
  2. Step 2: Convert to fraction form
    22,457,920/49,393,792 = 49,393,792/x
  3. Step 3: Cross multiply
    22,457,920x = 49,393,792 × 49,393,792
  4. Step 4: Simplify right side
    22,457,920x = 2,439,746,688,139,264
  5. Step 5: Solve for x
    x = 2,439,746,688,139,264/22,457,920
  6. Step 6: Final answer
    x = 108,636,360.27

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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.