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Finding the Third Proportional to 59,072,939,298 and 127,105,380,666

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Solution

The third proportional to 59,072,939,298 and 127,105,380,666 is: 273,488,639,404.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,072,939,298 : 127,105,380,666 = 127,105,380,666 : x
  2. Step 2: Convert to fraction form
    59,072,939,298/127,105,380,666 = 127,105,380,666/x
  3. Step 3: Cross multiply
    59,072,939,298x = 127,105,380,666 × 127,105,380,666
  4. Step 4: Simplify right side
    59,072,939,298x = 16,155,777,794,248,766,652,416
  5. Step 5: Solve for x
    x = 16,155,777,794,248,766,652,416/59,072,939,298
  6. Step 6: Final answer
    x = 273,488,639,404.74

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.