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Finding the Third Proportional to 12,830,526 and 16,959,645

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Solution

The third proportional to 12,830,526 and 16,959,645 is: 22,417,596.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,830,526 : 16,959,645 = 16,959,645 : x
  2. Step 2: Convert to fraction form
    12,830,526/16,959,645 = 16,959,645/x
  3. Step 3: Cross multiply
    12,830,526x = 16,959,645 × 16,959,645
  4. Step 4: Simplify right side
    12,830,526x = 287,629,558,526,025
  5. Step 5: Solve for x
    x = 287,629,558,526,025/12,830,526
  6. Step 6: Final answer
    x = 22,417,596.79

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.