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Finding the Third Proportional to 6,914,802,224 and 14,878,361,890

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Solution

The third proportional to 6,914,802,224 and 14,878,361,890 is: 32,013,302,095.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,914,802,224 : 14,878,361,890 = 14,878,361,890 : x
  2. Step 2: Convert to fraction form
    6,914,802,224/14,878,361,890 = 14,878,361,890/x
  3. Step 3: Cross multiply
    6,914,802,224x = 14,878,361,890 × 14,878,361,890
  4. Step 4: Simplify right side
    6,914,802,224x = 221,365,652,529,804,378,112
  5. Step 5: Solve for x
    x = 221,365,652,529,804,378,112/6,914,802,224
  6. Step 6: Final answer
    x = 32,013,302,095.83

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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.