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Finding the Third Proportional to 6,503,655 and 14,006,220

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Solution

The third proportional to 6,503,655 and 14,006,220 is: 30,163,684.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,503,655 : 14,006,220 = 14,006,220 : x
  2. Step 2: Convert to fraction form
    6,503,655/14,006,220 = 14,006,220/x
  3. Step 3: Cross multiply
    6,503,655x = 14,006,220 × 14,006,220
  4. Step 4: Simplify right side
    6,503,655x = 196,174,198,688,400
  5. Step 5: Solve for x
    x = 196,174,198,688,400/6,503,655
  6. Step 6: Final answer
    x = 30,163,684.68

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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.