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Finding the Third Proportional to 36,087,395,922 and 75,144,631,878

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Solution

The third proportional to 36,087,395,922 and 75,144,631,878 is: 156,473,349,096.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,087,395,922 : 75,144,631,878 = 75,144,631,878 : x
  2. Step 2: Convert to fraction form
    36,087,395,922/75,144,631,878 = 75,144,631,878/x
  3. Step 3: Cross multiply
    36,087,395,922x = 75,144,631,878 × 75,144,631,878
  4. Step 4: Simplify right side
    36,087,395,922x = 5,646,715,700,080,133,799,936
  5. Step 5: Solve for x
    x = 5,646,715,700,080,133,799,936/36,087,395,922
  6. Step 6: Final answer
    x = 156,473,349,096.32

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.