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Finding the Third Proportional to 55,576,921,876 and 85,875,557,262

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Solution

The third proportional to 55,576,921,876 and 85,875,557,262 is: 132,691,971,525.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,576,921,876 : 85,875,557,262 = 85,875,557,262 : x
  2. Step 2: Convert to fraction form
    55,576,921,876/85,875,557,262 = 85,875,557,262/x
  3. Step 3: Cross multiply
    55,576,921,876x = 85,875,557,262 × 85,875,557,262
  4. Step 4: Simplify right side
    55,576,921,876x = 7,374,611,335,059,041,419,264
  5. Step 5: Solve for x
    x = 7,374,611,335,059,041,419,264/55,576,921,876
  6. Step 6: Final answer
    x = 132,691,971,525.75

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.