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Finding the Third Proportional to 78,058,002,591 and 105,318,572,145.75

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Solution

The third proportional to 78,058,002,591 and 105,318,572,145.75 is: 142,099,480,778.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,058,002,591 : 105,318,572,145.75 = 105,318,572,145.75 : x
  2. Step 2: Convert to fraction form
    78,058,002,591/105,318,572,145.75 = 105,318,572,145.75/x
  3. Step 3: Cross multiply
    78,058,002,591x = 105,318,572,145.75 × 105,318,572,145.75
  4. Step 4: Simplify right side
    78,058,002,591x = 11,092,001,638,819,546,791,936
  5. Step 5: Solve for x
    x = 11,092,001,638,819,546,791,936/78,058,002,591
  6. Step 6: Final answer
    x = 142,099,480,778.91

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.