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Finding the Third Proportional to 63,225,050,336 and 137,469,641,356

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Solution

The third proportional to 63,225,050,336 and 137,469,641,356 is: 298,898,967,958.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,225,050,336 : 137,469,641,356 = 137,469,641,356 : x
  2. Step 2: Convert to fraction form
    63,225,050,336/137,469,641,356 = 137,469,641,356/x
  3. Step 3: Cross multiply
    63,225,050,336x = 137,469,641,356 × 137,469,641,356
  4. Step 4: Simplify right side
    63,225,050,336x = 18,897,902,294,547,266,797,568
  5. Step 5: Solve for x
    x = 18,897,902,294,547,266,797,568/63,225,050,336
  6. Step 6: Final answer
    x = 298,898,967,958.38

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.