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Finding the Third Proportional to 63,225,050,340 and 137,469,641,364

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Solution

The third proportional to 63,225,050,340 and 137,469,641,364 is: 298,898,967,974.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,225,050,340 : 137,469,641,364 = 137,469,641,364 : x
  2. Step 2: Convert to fraction form
    63,225,050,340/137,469,641,364 = 137,469,641,364/x
  3. Step 3: Cross multiply
    63,225,050,340x = 137,469,641,364 × 137,469,641,364
  4. Step 4: Simplify right side
    63,225,050,340x = 18,897,902,296,746,780,786,688
  5. Step 5: Solve for x
    x = 18,897,902,296,746,780,786,688/63,225,050,340
  6. Step 6: Final answer
    x = 298,898,967,974.26

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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.