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Finding the Third Proportional to 6,317,356.50 and 9,704,232

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Solution

The third proportional to 6,317,356.50 and 9,704,232 is: 14,906,886.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,317,356.50 : 9,704,232 = 9,704,232 : x
  2. Step 2: Convert to fraction form
    6,317,356.50/9,704,232 = 9,704,232/x
  3. Step 3: Cross multiply
    6,317,356.50x = 9,704,232 × 9,704,232
  4. Step 4: Simplify right side
    6,317,356.50x = 94,172,118,709,824
  5. Step 5: Solve for x
    x = 94,172,118,709,824/6,317,356.50
  6. Step 6: Final answer
    x = 14,906,886.88

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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.