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Finding the Third Proportional to 51,351,938,788 and 111,820,364,252

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Solution

The third proportional to 51,351,938,788 and 111,820,364,252 is: 243,492,147,649.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,351,938,788 : 111,820,364,252 = 111,820,364,252 : x
  2. Step 2: Convert to fraction form
    51,351,938,788/111,820,364,252 = 111,820,364,252/x
  3. Step 3: Cross multiply
    51,351,938,788x = 111,820,364,252 × 111,820,364,252
  4. Step 4: Simplify right side
    51,351,938,788x = 12,503,793,861,449,960,390,656
  5. Step 5: Solve for x
    x = 12,503,793,861,449,960,390,656/51,351,938,788
  6. Step 6: Final answer
    x = 243,492,147,649.39

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.