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Finding the Third Proportional to 9,983,414 and 14,266,529

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Solution

The third proportional to 9,983,414 and 14,266,529 is: 20,387,199.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,983,414 : 14,266,529 = 14,266,529 : x
  2. Step 2: Convert to fraction form
    9,983,414/14,266,529 = 14,266,529/x
  3. Step 3: Cross multiply
    9,983,414x = 14,266,529 × 14,266,529
  4. Step 4: Simplify right side
    9,983,414x = 203,533,849,707,841
  5. Step 5: Solve for x
    x = 203,533,849,707,841/9,983,414
  6. Step 6: Final answer
    x = 20,387,199.18

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.