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Finding the Third Proportional to 9,261,646 and 21,645,085

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Solution

The third proportional to 9,261,646 and 21,645,085 is: 50,586,008.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,261,646 : 21,645,085 = 21,645,085 : x
  2. Step 2: Convert to fraction form
    9,261,646/21,645,085 = 21,645,085/x
  3. Step 3: Cross multiply
    9,261,646x = 21,645,085 × 21,645,085
  4. Step 4: Simplify right side
    9,261,646x = 468,509,704,657,225
  5. Step 5: Solve for x
    x = 468,509,704,657,225/9,261,646
  6. Step 6: Final answer
    x = 50,586,008.65

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.