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Finding the Third Proportional to 2,200,613,684 and 3,292,196,024

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Solution

The third proportional to 2,200,613,684 and 3,292,196,024 is: 4,925,241,871.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,200,613,684 : 3,292,196,024 = 3,292,196,024 : x
  2. Step 2: Convert to fraction form
    2,200,613,684/3,292,196,024 = 3,292,196,024/x
  3. Step 3: Cross multiply
    2,200,613,684x = 3,292,196,024 × 3,292,196,024
  4. Step 4: Simplify right side
    2,200,613,684x = 10,838,554,660,441,409,536
  5. Step 5: Solve for x
    x = 10,838,554,660,441,409,536/2,200,613,684
  6. Step 6: Final answer
    x = 4,925,241,871.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.