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Finding the Third Proportional to 6,085,661.63 and 9,477,458.16

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Solution

The third proportional to 6,085,661.63 and 9,477,458.16 is: 14,759,646.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,085,661.63 : 9,477,458.16 = 9,477,458.16 : x
  2. Step 2: Convert to fraction form
    6,085,661.63/9,477,458.16 = 9,477,458.16/x
  3. Step 3: Cross multiply
    6,085,661.63x = 9,477,458.16 × 9,477,458.16
  4. Step 4: Simplify right side
    6,085,661.63x = 89,822,213,103,469.66
  5. Step 5: Solve for x
    x = 89,822,213,103,469.66/6,085,661.63
  6. Step 6: Final answer
    x = 14,759,646.30

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.