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Finding the Third Proportional to 9,753,916 and 14,489,574

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Solution

The third proportional to 9,753,916 and 14,489,574 is: 21,524,457.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,753,916 : 14,489,574 = 14,489,574 : x
  2. Step 2: Convert to fraction form
    9,753,916/14,489,574 = 14,489,574/x
  3. Step 3: Cross multiply
    9,753,916x = 14,489,574 × 14,489,574
  4. Step 4: Simplify right side
    9,753,916x = 209,947,754,701,476
  5. Step 5: Solve for x
    x = 209,947,754,701,476/9,753,916
  6. Step 6: Final answer
    x = 21,524,457.94

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.