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Finding the Third Proportional to 40,151,559,075 and 60,068,145,129

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Solution

The third proportional to 40,151,559,075 and 60,068,145,129 is: 89,864,058,640.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,151,559,075 : 60,068,145,129 = 60,068,145,129 : x
  2. Step 2: Convert to fraction form
    40,151,559,075/60,068,145,129 = 60,068,145,129/x
  3. Step 3: Cross multiply
    40,151,559,075x = 60,068,145,129 × 60,068,145,129
  4. Step 4: Simplify right side
    40,151,559,075x = 3,608,182,059,238,606,503,936
  5. Step 5: Solve for x
    x = 3,608,182,059,238,606,503,936/40,151,559,075
  6. Step 6: Final answer
    x = 89,864,058,640.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.