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Finding the Third Proportional to 9,756,936 and 14,285,484

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Solution

The third proportional to 9,756,936 and 14,285,484 is: 20,915,895.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,756,936 : 14,285,484 = 14,285,484 : x
  2. Step 2: Convert to fraction form
    9,756,936/14,285,484 = 14,285,484/x
  3. Step 3: Cross multiply
    9,756,936x = 14,285,484 × 14,285,484
  4. Step 4: Simplify right side
    9,756,936x = 204,075,053,114,256
  5. Step 5: Solve for x
    x = 204,075,053,114,256/9,756,936
  6. Step 6: Final answer
    x = 20,915,895.43

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.