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Finding the Third Proportional to 6,877,999.13 and 14,575,313.25

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Solution

The third proportional to 6,877,999.13 and 14,575,313.25 is: 30,886,854.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,877,999.13 : 14,575,313.25 = 14,575,313.25 : x
  2. Step 2: Convert to fraction form
    6,877,999.13/14,575,313.25 = 14,575,313.25/x
  3. Step 3: Cross multiply
    6,877,999.13x = 14,575,313.25 × 14,575,313.25
  4. Step 4: Simplify right side
    6,877,999.13x = 212,439,756,335,625.56
  5. Step 5: Solve for x
    x = 212,439,756,335,625.56/6,877,999.13
  6. Step 6: Final answer
    x = 30,886,854.23

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.