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Finding the Third Proportional to 6,104,327.06 and 9,447,686.23

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Solution

The third proportional to 6,104,327.06 and 9,447,686.23 is: 14,622,213.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,104,327.06 : 9,447,686.23 = 9,447,686.23 : x
  2. Step 2: Convert to fraction form
    6,104,327.06/9,447,686.23 = 9,447,686.23/x
  3. Step 3: Cross multiply
    6,104,327.06x = 9,447,686.23 × 9,447,686.23
  4. Step 4: Simplify right side
    6,104,327.06x = 89,258,775,035,578.77
  5. Step 5: Solve for x
    x = 89,258,775,035,578.77/6,104,327.06
  6. Step 6: Final answer
    x = 14,622,213.74

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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.