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Finding the Third Proportional to 7,129,206 and 16,812,937

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Solution

The third proportional to 7,129,206 and 16,812,937 is: 39,650,257.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,129,206 : 16,812,937 = 16,812,937 : x
  2. Step 2: Convert to fraction form
    7,129,206/16,812,937 = 16,812,937/x
  3. Step 3: Cross multiply
    7,129,206x = 16,812,937 × 16,812,937
  4. Step 4: Simplify right side
    7,129,206x = 282,674,850,565,969
  5. Step 5: Solve for x
    x = 282,674,850,565,969/7,129,206
  6. Step 6: Final answer
    x = 39,650,257.06

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.