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Finding the Third Proportional to 16,116,803,487 and 34,682,487,102

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Solution

The third proportional to 16,116,803,487 and 34,682,487,102 is: 74,634,831,438.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,116,803,487 : 34,682,487,102 = 34,682,487,102 : x
  2. Step 2: Convert to fraction form
    16,116,803,487/34,682,487,102 = 34,682,487,102/x
  3. Step 3: Cross multiply
    16,116,803,487x = 34,682,487,102 × 34,682,487,102
  4. Step 4: Simplify right side
    16,116,803,487x = 1,202,874,911,580,396,453,888
  5. Step 5: Solve for x
    x = 1,202,874,911,580,396,453,888/16,116,803,487
  6. Step 6: Final answer
    x = 74,634,831,438.54

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.