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Finding the Third Proportional to 6,525,496 and 9,783,716

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Solution

The third proportional to 6,525,496 and 9,783,716 is: 14,668,785.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,525,496 : 9,783,716 = 9,783,716 : x
  2. Step 2: Convert to fraction form
    6,525,496/9,783,716 = 9,783,716/x
  3. Step 3: Cross multiply
    6,525,496x = 9,783,716 × 9,783,716
  4. Step 4: Simplify right side
    6,525,496x = 95,721,098,768,656
  5. Step 5: Solve for x
    x = 95,721,098,768,656/6,525,496
  6. Step 6: Final answer
    x = 14,668,785.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.