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Finding the Third Proportional to 51,331,559,605 and 75,459,669,749

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Solution

The third proportional to 51,331,559,605 and 75,459,669,749 is: 110,929,062,012.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,331,559,605 : 75,459,669,749 = 75,459,669,749 : x
  2. Step 2: Convert to fraction form
    51,331,559,605/75,459,669,749 = 75,459,669,749/x
  3. Step 3: Cross multiply
    51,331,559,605x = 75,459,669,749 × 75,459,669,749
  4. Step 4: Simplify right side
    51,331,559,605x = 5,694,161,758,628,145,528,832
  5. Step 5: Solve for x
    x = 5,694,161,758,628,145,528,832/51,331,559,605
  6. Step 6: Final answer
    x = 110,929,062,012.63

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.