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Finding the Third Proportional to 6,398,611 and 9,811,688

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Solution

The third proportional to 6,398,611 and 9,811,688 is: 15,045,331.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,398,611 : 9,811,688 = 9,811,688 : x
  2. Step 2: Convert to fraction form
    6,398,611/9,811,688 = 9,811,688/x
  3. Step 3: Cross multiply
    6,398,611x = 9,811,688 × 9,811,688
  4. Step 4: Simplify right side
    6,398,611x = 96,269,221,409,344
  5. Step 5: Solve for x
    x = 96,269,221,409,344/6,398,611
  6. Step 6: Final answer
    x = 15,045,331.15

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.