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Finding the Third Proportional to 9,447,845.06 and 20,726,207.44

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Solution

The third proportional to 9,447,845.06 and 20,726,207.44 is: 45,468,111.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,447,845.06 : 20,726,207.44 = 20,726,207.44 : x
  2. Step 2: Convert to fraction form
    9,447,845.06/20,726,207.44 = 20,726,207.44/x
  3. Step 3: Cross multiply
    9,447,845.06x = 20,726,207.44 × 20,726,207.44
  4. Step 4: Simplify right side
    9,447,845.06x = 429,575,674,742,280.31
  5. Step 5: Solve for x
    x = 429,575,674,742,280.31/9,447,845.06
  6. Step 6: Final answer
    x = 45,468,111.71

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Why These Related Problems?

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