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Finding the Third Proportional to 6,292,174 and 9,716,434

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Solution

The third proportional to 6,292,174 and 9,716,434 is: 15,004,208.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,292,174 : 9,716,434 = 9,716,434 : x
  2. Step 2: Convert to fraction form
    6,292,174/9,716,434 = 9,716,434/x
  3. Step 3: Cross multiply
    6,292,174x = 9,716,434 × 9,716,434
  4. Step 4: Simplify right side
    6,292,174x = 94,409,089,676,356
  5. Step 5: Solve for x
    x = 94,409,089,676,356/6,292,174
  6. Step 6: Final answer
    x = 15,004,208.35

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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.