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Finding the Third Proportional to 31,493,594.81 and 45,035,893.69

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Solution

The third proportional to 31,493,594.81 and 45,035,893.69 is: 64,401,403.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,493,594.81 : 45,035,893.69 = 45,035,893.69 : x
  2. Step 2: Convert to fraction form
    31,493,594.81/45,035,893.69 = 45,035,893.69/x
  3. Step 3: Cross multiply
    31,493,594.81x = 45,035,893.69 × 45,035,893.69
  4. Step 4: Simplify right side
    31,493,594.81x = 2,028,231,720,231,802.25
  5. Step 5: Solve for x
    x = 2,028,231,720,231,802.25/31,493,594.81
  6. Step 6: Final answer
    x = 64,401,403.91

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.