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Finding the Third Proportional to 6,865,038 and 14,793,236

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Solution

The third proportional to 6,865,038 and 14,793,236 is: 31,877,439.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,865,038 : 14,793,236 = 14,793,236 : x
  2. Step 2: Convert to fraction form
    6,865,038/14,793,236 = 14,793,236/x
  3. Step 3: Cross multiply
    6,865,038x = 14,793,236 × 14,793,236
  4. Step 4: Simplify right side
    6,865,038x = 218,839,831,351,696
  5. Step 5: Solve for x
    x = 218,839,831,351,696/6,865,038
  6. Step 6: Final answer
    x = 31,877,439.19

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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.