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Finding the Third Proportional to 9,721,586 and 21,273,124

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Solution

The third proportional to 9,721,586 and 21,273,124 is: 46,550,614.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,721,586 : 21,273,124 = 21,273,124 : x
  2. Step 2: Convert to fraction form
    9,721,586/21,273,124 = 21,273,124/x
  3. Step 3: Cross multiply
    9,721,586x = 21,273,124 × 21,273,124
  4. Step 4: Simplify right side
    9,721,586x = 452,545,804,719,376
  5. Step 5: Solve for x
    x = 452,545,804,719,376/9,721,586
  6. Step 6: Final answer
    x = 46,550,614.76

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.