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Finding the Third Proportional to 2,976,313 and 6,460,010

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Solution

The third proportional to 2,976,313 and 6,460,010 is: 14,021,283.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,976,313 : 6,460,010 = 6,460,010 : x
  2. Step 2: Convert to fraction form
    2,976,313/6,460,010 = 6,460,010/x
  3. Step 3: Cross multiply
    2,976,313x = 6,460,010 × 6,460,010
  4. Step 4: Simplify right side
    2,976,313x = 41,731,729,200,100
  5. Step 5: Solve for x
    x = 41,731,729,200,100/2,976,313
  6. Step 6: Final answer
    x = 14,021,283.78

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.