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Finding the Third Proportional to 9,084,751 and 13,963,913

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Solution

The third proportional to 9,084,751 and 13,963,913 is: 21,463,534.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,084,751 : 13,963,913 = 13,963,913 : x
  2. Step 2: Convert to fraction form
    9,084,751/13,963,913 = 13,963,913/x
  3. Step 3: Cross multiply
    9,084,751x = 13,963,913 × 13,963,913
  4. Step 4: Simplify right side
    9,084,751x = 194,990,866,271,569
  5. Step 5: Solve for x
    x = 194,990,866,271,569/9,084,751
  6. Step 6: Final answer
    x = 21,463,534.47

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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.