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Finding the Third Proportional to 31,457,762.44 and 68,360,737.22

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Solution

The third proportional to 31,457,762.44 and 68,360,737.22 is: 148,554,443.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,457,762.44 : 68,360,737.22 = 68,360,737.22 : x
  2. Step 2: Convert to fraction form
    31,457,762.44/68,360,737.22 = 68,360,737.22/x
  3. Step 3: Cross multiply
    31,457,762.44x = 68,360,737.22 × 68,360,737.22
  4. Step 4: Simplify right side
    31,457,762.44x = 4,673,190,393,090,991
  5. Step 5: Solve for x
    x = 4,673,190,393,090,991/31,457,762.44
  6. Step 6: Final answer
    x = 148,554,443.51

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.