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Finding the Third Proportional to 10,120,069.13 and 14,423,128.31

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Solution

The third proportional to 10,120,069.13 and 14,423,128.31 is: 20,555,850.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,120,069.13 : 14,423,128.31 = 14,423,128.31 : x
  2. Step 2: Convert to fraction form
    10,120,069.13/14,423,128.31 = 14,423,128.31/x
  3. Step 3: Cross multiply
    10,120,069.13x = 14,423,128.31 × 14,423,128.31
  4. Step 4: Simplify right side
    10,120,069.13x = 208,026,630,318,839.09
  5. Step 5: Solve for x
    x = 208,026,630,318,839.09/10,120,069.13
  6. Step 6: Final answer
    x = 20,555,850.73

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.