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Finding the Third Proportional to 6,838,784 and 14,812,408

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Solution

The third proportional to 6,838,784 and 14,812,408 is: 32,082,813.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,838,784 : 14,812,408 = 14,812,408 : x
  2. Step 2: Convert to fraction form
    6,838,784/14,812,408 = 14,812,408/x
  3. Step 3: Cross multiply
    6,838,784x = 14,812,408 × 14,812,408
  4. Step 4: Simplify right side
    6,838,784x = 219,407,430,758,464
  5. Step 5: Solve for x
    x = 219,407,430,758,464/6,838,784
  6. Step 6: Final answer
    x = 32,082,813.37

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.