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Finding the Third Proportional to 9,084,764 and 13,963,931

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Solution

The third proportional to 9,084,764 and 13,963,931 is: 21,463,559.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,084,764 : 13,963,931 = 13,963,931 : x
  2. Step 2: Convert to fraction form
    9,084,764/13,963,931 = 13,963,931/x
  3. Step 3: Cross multiply
    9,084,764x = 13,963,931 × 13,963,931
  4. Step 4: Simplify right side
    9,084,764x = 194,991,368,972,761
  5. Step 5: Solve for x
    x = 194,991,368,972,761/9,084,764
  6. Step 6: Final answer
    x = 21,463,559.09

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.