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Finding the Third Proportional to 4,734,460 and 10,354,853

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Solution

The third proportional to 4,734,460 and 10,354,853 is: 22,647,351.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,734,460 : 10,354,853 = 10,354,853 : x
  2. Step 2: Convert to fraction form
    4,734,460/10,354,853 = 10,354,853/x
  3. Step 3: Cross multiply
    4,734,460x = 10,354,853 × 10,354,853
  4. Step 4: Simplify right side
    4,734,460x = 107,222,980,651,609
  5. Step 5: Solve for x
    x = 107,222,980,651,609/4,734,460
  6. Step 6: Final answer
    x = 22,647,351.68

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.