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Finding the Third Proportional to 2,976,313.50 and 6,460,011

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Solution

The third proportional to 2,976,313.50 and 6,460,011 is: 14,021,285.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,976,313.50 : 6,460,011 = 6,460,011 : x
  2. Step 2: Convert to fraction form
    2,976,313.50/6,460,011 = 6,460,011/x
  3. Step 3: Cross multiply
    2,976,313.50x = 6,460,011 × 6,460,011
  4. Step 4: Simplify right side
    2,976,313.50x = 41,731,742,120,121
  5. Step 5: Solve for x
    x = 41,731,742,120,121/2,976,313.50
  6. Step 6: Final answer
    x = 14,021,285.77

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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.