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Finding the Third Proportional to 59,782,652,085 and 131,750,912,919

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Solution

The third proportional to 59,782,652,085 and 131,750,912,919 is: 290,356,858,546.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,782,652,085 : 131,750,912,919 = 131,750,912,919 : x
  2. Step 2: Convert to fraction form
    59,782,652,085/131,750,912,919 = 131,750,912,919/x
  3. Step 3: Cross multiply
    59,782,652,085x = 131,750,912,919 × 131,750,912,919
  4. Step 4: Simplify right side
    59,782,652,085x = 17,358,303,054,989,921,091,584
  5. Step 5: Solve for x
    x = 17,358,303,054,989,921,091,584/59,782,652,085
  6. Step 6: Final answer
    x = 290,356,858,546.68

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.