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Finding the Third Proportional to 32,749,095.38 and 49,147,619.63

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Solution

The third proportional to 32,749,095.38 and 49,147,619.63 is: 73,757,411.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,749,095.38 : 49,147,619.63 = 49,147,619.63 : x
  2. Step 2: Convert to fraction form
    32,749,095.38/49,147,619.63 = 49,147,619.63/x
  3. Step 3: Cross multiply
    32,749,095.38x = 49,147,619.63 × 49,147,619.63
  4. Step 4: Simplify right side
    32,749,095.38x = 2,415,488,514,803,685
  5. Step 5: Solve for x
    x = 2,415,488,514,803,685/32,749,095.38
  6. Step 6: Final answer
    x = 73,757,411.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.