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Finding the Third Proportional to 3,460,313.75 and 7,572,293.69

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Solution

The third proportional to 3,460,313.75 and 7,572,293.69 is: 16,570,645.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,460,313.75 : 7,572,293.69 = 7,572,293.69 : x
  2. Step 2: Convert to fraction form
    3,460,313.75/7,572,293.69 = 7,572,293.69/x
  3. Step 3: Cross multiply
    3,460,313.75x = 7,572,293.69 × 7,572,293.69
  4. Step 4: Simplify right side
    3,460,313.75x = 57,339,631,689,752.34
  5. Step 5: Solve for x
    x = 57,339,631,689,752.34/3,460,313.75
  6. Step 6: Final answer
    x = 16,570,645.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.