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Finding the Third Proportional to 6,597,876,507,987 and 14,204,113,932,660

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Solution

The third proportional to 6,597,876,507,987 and 14,204,113,932,660 is: 30,579,058,636,176.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,597,876,507,987 : 14,204,113,932,660 = 14,204,113,932,660 : x
  2. Step 2: Convert to fraction form
    6,597,876,507,987/14,204,113,932,660 = 14,204,113,932,660/x
  3. Step 3: Cross multiply
    6,597,876,507,987x = 14,204,113,932,660 × 14,204,113,932,660
  4. Step 4: Simplify right side
    6,597,876,507,987x = 201,756,852,611,985,930,276,831,232
  5. Step 5: Solve for x
    x = 201,756,852,611,985,930,276,831,232/6,597,876,507,987
  6. Step 6: Final answer
    x = 30,579,058,636,176.50

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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.