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Finding the Third Proportional to 2,699,537.63 and 5,702,582.25

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Solution

The third proportional to 2,699,537.63 and 5,702,582.25 is: 12,046,301.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,699,537.63 : 5,702,582.25 = 5,702,582.25 : x
  2. Step 2: Convert to fraction form
    2,699,537.63/5,702,582.25 = 5,702,582.25/x
  3. Step 3: Cross multiply
    2,699,537.63x = 5,702,582.25 × 5,702,582.25
  4. Step 4: Simplify right side
    2,699,537.63x = 32,519,444,318,015.06
  5. Step 5: Solve for x
    x = 32,519,444,318,015.06/2,699,537.63
  6. Step 6: Final answer
    x = 12,046,301.57

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.