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Finding the Third Proportional to 7,665,345.75 and 11,782,155.75

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Solution

The third proportional to 7,665,345.75 and 11,782,155.75 is: 18,109,971.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,665,345.75 : 11,782,155.75 = 11,782,155.75 : x
  2. Step 2: Convert to fraction form
    7,665,345.75/11,782,155.75 = 11,782,155.75/x
  3. Step 3: Cross multiply
    7,665,345.75x = 11,782,155.75 × 11,782,155.75
  4. Step 4: Simplify right side
    7,665,345.75x = 138,819,194,117,258.06
  5. Step 5: Solve for x
    x = 138,819,194,117,258.06/7,665,345.75
  6. Step 6: Final answer
    x = 18,109,971.64

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.