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Finding the Third Proportional to 6,104,355 and 9,447,729

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Solution

The third proportional to 6,104,355 and 9,447,729 is: 14,622,279.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,104,355 : 9,447,729 = 9,447,729 : x
  2. Step 2: Convert to fraction form
    6,104,355/9,447,729 = 9,447,729/x
  3. Step 3: Cross multiply
    6,104,355x = 9,447,729 × 9,447,729
  4. Step 4: Simplify right side
    6,104,355x = 89,259,583,257,441
  5. Step 5: Solve for x
    x = 89,259,583,257,441/6,104,355
  6. Step 6: Final answer
    x = 14,622,279.22

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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.