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Finding the Third Proportional to 4,147,518.94 and 6,347,577.66

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Solution

The third proportional to 4,147,518.94 and 6,347,577.66 is: 9,714,661.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,147,518.94 : 6,347,577.66 = 6,347,577.66 : x
  2. Step 2: Convert to fraction form
    4,147,518.94/6,347,577.66 = 6,347,577.66/x
  3. Step 3: Cross multiply
    4,147,518.94x = 6,347,577.66 × 6,347,577.66
  4. Step 4: Simplify right side
    4,147,518.94x = 40,291,742,102,124.24
  5. Step 5: Solve for x
    x = 40,291,742,102,124.24/4,147,518.94
  6. Step 6: Final answer
    x = 9,714,661.39

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.