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Finding the Third Proportional to 35,063,845,700 and 75,092,428,936

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Solution

The third proportional to 35,063,845,700 and 75,092,428,936 is: 160,817,296,874.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,063,845,700 : 75,092,428,936 = 75,092,428,936 : x
  2. Step 2: Convert to fraction form
    35,063,845,700/75,092,428,936 = 75,092,428,936/x
  3. Step 3: Cross multiply
    35,063,845,700x = 75,092,428,936 × 75,092,428,936
  4. Step 4: Simplify right side
    35,063,845,700x = 5,638,872,883,508,210,040,832
  5. Step 5: Solve for x
    x = 5,638,872,883,508,210,040,832/35,063,845,700
  6. Step 6: Final answer
    x = 160,817,296,874.78

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.