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Finding the Third Proportional to 6,354,060 and 13,921,072.50

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Solution

The third proportional to 6,354,060 and 13,921,072.50 is: 30,499,595.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,354,060 : 13,921,072.50 = 13,921,072.50 : x
  2. Step 2: Convert to fraction form
    6,354,060/13,921,072.50 = 13,921,072.50/x
  3. Step 3: Cross multiply
    6,354,060x = 13,921,072.50 × 13,921,072.50
  4. Step 4: Simplify right side
    6,354,060x = 193,796,259,550,256.25
  5. Step 5: Solve for x
    x = 193,796,259,550,256.25/6,354,060
  6. Step 6: Final answer
    x = 30,499,595.46

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