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Finding the Third Proportional to 4,217,984 and 6,536,712

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Solution

The third proportional to 4,217,984 and 6,536,712 is: 10,130,100.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,217,984 : 6,536,712 = 6,536,712 : x
  2. Step 2: Convert to fraction form
    4,217,984/6,536,712 = 6,536,712/x
  3. Step 3: Cross multiply
    4,217,984x = 6,536,712 × 6,536,712
  4. Step 4: Simplify right side
    4,217,984x = 42,728,603,770,944
  5. Step 5: Solve for x
    x = 42,728,603,770,944/4,217,984
  6. Step 6: Final answer
    x = 10,130,100.96

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.