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Finding the Third Proportional to 4,483,080 and 9,728,208

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Solution

The third proportional to 4,483,080 and 9,728,208 is: 21,110,047.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,483,080 : 9,728,208 = 9,728,208 : x
  2. Step 2: Convert to fraction form
    4,483,080/9,728,208 = 9,728,208/x
  3. Step 3: Cross multiply
    4,483,080x = 9,728,208 × 9,728,208
  4. Step 4: Simplify right side
    4,483,080x = 94,638,030,891,264
  5. Step 5: Solve for x
    x = 94,638,030,891,264/4,483,080
  6. Step 6: Final answer
    x = 21,110,047.31

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.