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Finding the Third Proportional to 9,583,270 and 20,783,457

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Solution

The third proportional to 9,583,270 and 20,783,457 is: 45,073,558.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,583,270 : 20,783,457 = 20,783,457 : x
  2. Step 2: Convert to fraction form
    9,583,270/20,783,457 = 20,783,457/x
  3. Step 3: Cross multiply
    9,583,270x = 20,783,457 × 20,783,457
  4. Step 4: Simplify right side
    9,583,270x = 431,952,084,870,849
  5. Step 5: Solve for x
    x = 431,952,084,870,849/9,583,270
  6. Step 6: Final answer
    x = 45,073,558.91

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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.