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Finding the Third Proportional to 75,193,893,028 and 113,759,518,704

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Solution

The third proportional to 75,193,893,028 and 113,759,518,704 is: 172,104,775,728.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,193,893,028 : 113,759,518,704 = 113,759,518,704 : x
  2. Step 2: Convert to fraction form
    75,193,893,028/113,759,518,704 = 113,759,518,704/x
  3. Step 3: Cross multiply
    75,193,893,028x = 113,759,518,704 × 113,759,518,704
  4. Step 4: Simplify right side
    75,193,893,028x = 12,941,228,095,765,726,887,936
  5. Step 5: Solve for x
    x = 12,941,228,095,765,726,887,936/75,193,893,028
  6. Step 6: Final answer
    x = 172,104,775,728.89

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.