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Finding the Third Proportional to 3,613,308,754 and 5,523,816,744

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Solution

The third proportional to 3,613,308,754 and 5,523,816,744 is: 8,444,490,492.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,613,308,754 : 5,523,816,744 = 5,523,816,744 : x
  2. Step 2: Convert to fraction form
    3,613,308,754/5,523,816,744 = 5,523,816,744/x
  3. Step 3: Cross multiply
    3,613,308,754x = 5,523,816,744 × 5,523,816,744
  4. Step 4: Simplify right side
    3,613,308,754x = 30,512,551,421,294,759,936
  5. Step 5: Solve for x
    x = 30,512,551,421,294,759,936/3,613,308,754
  6. Step 6: Final answer
    x = 8,444,490,492.96

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.