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Finding the Third Proportional to 2,533,400 and 5,460,457.50

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Solution

The third proportional to 2,533,400 and 5,460,457.50 is: 11,769,399.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,533,400 : 5,460,457.50 = 5,460,457.50 : x
  2. Step 2: Convert to fraction form
    2,533,400/5,460,457.50 = 5,460,457.50/x
  3. Step 3: Cross multiply
    2,533,400x = 5,460,457.50 × 5,460,457.50
  4. Step 4: Simplify right side
    2,533,400x = 29,816,596,109,306.25
  5. Step 5: Solve for x
    x = 29,816,596,109,306.25/2,533,400
  6. Step 6: Final answer
    x = 11,769,399.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.