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Finding the Third Proportional to 22,688,016 and 49,784,304

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Solution

The third proportional to 22,688,016 and 49,784,304 is: 109,241,677.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,688,016 : 49,784,304 = 49,784,304 : x
  2. Step 2: Convert to fraction form
    22,688,016/49,784,304 = 49,784,304/x
  3. Step 3: Cross multiply
    22,688,016x = 49,784,304 × 49,784,304
  4. Step 4: Simplify right side
    22,688,016x = 2,478,476,924,764,416
  5. Step 5: Solve for x
    x = 2,478,476,924,764,416/22,688,016
  6. Step 6: Final answer
    x = 109,241,677.40

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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.