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Finding the Third Proportional to 50,476,503,018 and 109,012,381,844

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Solution

The third proportional to 50,476,503,018 and 109,012,381,844 is: 235,430,322,719.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,476,503,018 : 109,012,381,844 = 109,012,381,844 : x
  2. Step 2: Convert to fraction form
    50,476,503,018/109,012,381,844 = 109,012,381,844/x
  3. Step 3: Cross multiply
    50,476,503,018x = 109,012,381,844 × 109,012,381,844
  4. Step 4: Simplify right side
    50,476,503,018x = 11,883,699,395,302,061,506,560
  5. Step 5: Solve for x
    x = 11,883,699,395,302,061,506,560/50,476,503,018
  6. Step 6: Final answer
    x = 235,430,322,719.95

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