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Finding the Third Proportional to 22,688,019 and 49,784,310

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Solution

The third proportional to 22,688,019 and 49,784,310 is: 109,241,689.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,688,019 : 49,784,310 = 49,784,310 : x
  2. Step 2: Convert to fraction form
    22,688,019/49,784,310 = 49,784,310/x
  3. Step 3: Cross multiply
    22,688,019x = 49,784,310 × 49,784,310
  4. Step 4: Simplify right side
    22,688,019x = 2,478,477,522,176,100
  5. Step 5: Solve for x
    x = 2,478,477,522,176,100/22,688,019
  6. Step 6: Final answer
    x = 109,241,689.29

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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.