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Finding the Third Proportional to 4,358,123.44 and 9,500,954.06

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Solution

The third proportional to 4,358,123.44 and 9,500,954.06 is: 20,712,613.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,358,123.44 : 9,500,954.06 = 9,500,954.06 : x
  2. Step 2: Convert to fraction form
    4,358,123.44/9,500,954.06 = 9,500,954.06/x
  3. Step 3: Cross multiply
    4,358,123.44x = 9,500,954.06 × 9,500,954.06
  4. Step 4: Simplify right side
    4,358,123.44x = 90,268,128,097,735.25
  5. Step 5: Solve for x
    x = 90,268,128,097,735.25/4,358,123.44
  6. Step 6: Final answer
    x = 20,712,613.90

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.