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Finding the Third Proportional to 4,723,924 and 10,038,338

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Solution

The third proportional to 4,723,924 and 10,038,338 is: 21,331,467.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,723,924 : 10,038,338 = 10,038,338 : x
  2. Step 2: Convert to fraction form
    4,723,924/10,038,338 = 10,038,338/x
  3. Step 3: Cross multiply
    4,723,924x = 10,038,338 × 10,038,338
  4. Step 4: Simplify right side
    4,723,924x = 100,768,229,802,244
  5. Step 5: Solve for x
    x = 100,768,229,802,244/4,723,924
  6. Step 6: Final answer
    x = 21,331,467.19

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.