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Finding the Third Proportional to 9,084,706 and 13,963,850

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Solution

The third proportional to 9,084,706 and 13,963,850 is: 21,463,447.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,084,706 : 13,963,850 = 13,963,850 : x
  2. Step 2: Convert to fraction form
    9,084,706/13,963,850 = 13,963,850/x
  3. Step 3: Cross multiply
    9,084,706x = 13,963,850 × 13,963,850
  4. Step 4: Simplify right side
    9,084,706x = 194,989,106,822,500
  5. Step 5: Solve for x
    x = 194,989,106,822,500/9,084,706
  6. Step 6: Final answer
    x = 21,463,447.12

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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.