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Finding the Third Proportional to 12,164,458 and 17,006,657

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Solution

The third proportional to 12,164,458 and 17,006,657 is: 23,776,347.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,164,458 : 17,006,657 = 17,006,657 : x
  2. Step 2: Convert to fraction form
    12,164,458/17,006,657 = 17,006,657/x
  3. Step 3: Cross multiply
    12,164,458x = 17,006,657 × 17,006,657
  4. Step 4: Simplify right side
    12,164,458x = 289,226,382,315,649
  5. Step 5: Solve for x
    x = 289,226,382,315,649/12,164,458
  6. Step 6: Final answer
    x = 23,776,347.64

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.