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Finding the Third Proportional to 9,464,940 and 15,453,760

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Solution

The third proportional to 9,464,940 and 15,453,760 is: 25,231,929.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,464,940 : 15,453,760 = 15,453,760 : x
  2. Step 2: Convert to fraction form
    9,464,940/15,453,760 = 15,453,760/x
  3. Step 3: Cross multiply
    9,464,940x = 15,453,760 × 15,453,760
  4. Step 4: Simplify right side
    9,464,940x = 238,818,698,137,600
  5. Step 5: Solve for x
    x = 238,818,698,137,600/9,464,940
  6. Step 6: Final answer
    x = 25,231,929.43

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.