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Finding the Third Proportional to 53,092,019,436 and 113,756,890,422

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Solution

The third proportional to 53,092,019,436 and 113,756,890,422 is: 243,739,647,803.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,092,019,436 : 113,756,890,422 = 113,756,890,422 : x
  2. Step 2: Convert to fraction form
    53,092,019,436/113,756,890,422 = 113,756,890,422/x
  3. Step 3: Cross multiply
    53,092,019,436x = 113,756,890,422 × 113,756,890,422
  4. Step 4: Simplify right side
    53,092,019,436x = 12,940,630,118,482,915,098,624
  5. Step 5: Solve for x
    x = 12,940,630,118,482,915,098,624/53,092,019,436
  6. Step 6: Final answer
    x = 243,739,647,803.04

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.