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Finding the Third Proportional to 10,709,668.13 and 23,123,616.75

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Solution

The third proportional to 10,709,668.13 and 23,123,616.75 is: 49,927,004.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,709,668.13 : 23,123,616.75 = 23,123,616.75 : x
  2. Step 2: Convert to fraction form
    10,709,668.13/23,123,616.75 = 23,123,616.75/x
  3. Step 3: Cross multiply
    10,709,668.13x = 23,123,616.75 × 23,123,616.75
  4. Step 4: Simplify right side
    10,709,668.13x = 534,701,651,600,880.56
  5. Step 5: Solve for x
    x = 534,701,651,600,880.56/10,709,668.13
  6. Step 6: Final answer
    x = 49,927,004.77

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.