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Finding the Third Proportional to 9,983,784 and 14,267,087

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Solution

The third proportional to 9,983,784 and 14,267,087 is: 20,388,038.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,983,784 : 14,267,087 = 14,267,087 : x
  2. Step 2: Convert to fraction form
    9,983,784/14,267,087 = 14,267,087/x
  3. Step 3: Cross multiply
    9,983,784x = 14,267,087 × 14,267,087
  4. Step 4: Simplify right side
    9,983,784x = 203,549,771,465,569
  5. Step 5: Solve for x
    x = 203,549,771,465,569/9,983,784
  6. Step 6: Final answer
    x = 20,388,038.39

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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.