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Finding the Third Proportional to 35,650,869 and 78,110,823

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Solution

The third proportional to 35,650,869 and 78,110,823 is: 171,140,307.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,650,869 : 78,110,823 = 78,110,823 : x
  2. Step 2: Convert to fraction form
    35,650,869/78,110,823 = 78,110,823/x
  3. Step 3: Cross multiply
    35,650,869x = 78,110,823 × 78,110,823
  4. Step 4: Simplify right side
    35,650,869x = 6,101,300,669,737,329
  5. Step 5: Solve for x
    x = 6,101,300,669,737,329/35,650,869
  6. Step 6: Final answer
    x = 171,140,307.12

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.