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Finding the Third Proportional to 6,292,182.75 and 9,716,445

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Solution

The third proportional to 6,292,182.75 and 9,716,445 is: 15,004,221.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,292,182.75 : 9,716,445 = 9,716,445 : x
  2. Step 2: Convert to fraction form
    6,292,182.75/9,716,445 = 9,716,445/x
  3. Step 3: Cross multiply
    6,292,182.75x = 9,716,445 × 9,716,445
  4. Step 4: Simplify right side
    6,292,182.75x = 94,409,303,438,025
  5. Step 5: Solve for x
    x = 94,409,303,438,025/6,292,182.75
  6. Step 6: Final answer
    x = 15,004,221.46

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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.