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Finding the Third Proportional to 7,097,024.25 and 10,633,728.94

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Solution

The third proportional to 7,097,024.25 and 10,633,728.94 is: 15,932,901.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,097,024.25 : 10,633,728.94 = 10,633,728.94 : x
  2. Step 2: Convert to fraction form
    7,097,024.25/10,633,728.94 = 10,633,728.94/x
  3. Step 3: Cross multiply
    7,097,024.25x = 10,633,728.94 × 10,633,728.94
  4. Step 4: Simplify right side
    7,097,024.25x = 113,076,191,116,224.88
  5. Step 5: Solve for x
    x = 113,076,191,116,224.88/7,097,024.25
  6. Step 6: Final answer
    x = 15,932,901.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.