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Finding the Third Proportional to 9,273,296 and 14,185,320

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Solution

The third proportional to 9,273,296 and 14,185,320 is: 21,699,221.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,273,296 : 14,185,320 = 14,185,320 : x
  2. Step 2: Convert to fraction form
    9,273,296/14,185,320 = 14,185,320/x
  3. Step 3: Cross multiply
    9,273,296x = 14,185,320 × 14,185,320
  4. Step 4: Simplify right side
    9,273,296x = 201,223,303,502,400
  5. Step 5: Solve for x
    x = 201,223,303,502,400/9,273,296
  6. Step 6: Final answer
    x = 21,699,221.45

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.