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Finding the Third Proportional to 9,436,464 and 14,232,888

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Solution

The third proportional to 9,436,464 and 14,232,888 is: 21,467,267.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,436,464 : 14,232,888 = 14,232,888 : x
  2. Step 2: Convert to fraction form
    9,436,464/14,232,888 = 14,232,888/x
  3. Step 3: Cross multiply
    9,436,464x = 14,232,888 × 14,232,888
  4. Step 4: Simplify right side
    9,436,464x = 202,575,100,820,544
  5. Step 5: Solve for x
    x = 202,575,100,820,544/9,436,464
  6. Step 6: Final answer
    x = 21,467,267.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.