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Finding the Third Proportional to 35,083,434,424 and 75,758,559,848

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Solution

The third proportional to 35,083,434,424 and 75,758,559,848 is: 163,591,720,265.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,083,434,424 : 75,758,559,848 = 75,758,559,848 : x
  2. Step 2: Convert to fraction form
    35,083,434,424/75,758,559,848 = 75,758,559,848/x
  3. Step 3: Cross multiply
    35,083,434,424x = 75,758,559,848 × 75,758,559,848
  4. Step 4: Simplify right side
    35,083,434,424x = 5,739,359,390,242,998,059,008
  5. Step 5: Solve for x
    x = 5,739,359,390,242,998,059,008/35,083,434,424
  6. Step 6: Final answer
    x = 163,591,720,265.47

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.