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Finding the Third Proportional to 31,943,461.22 and 69,483,747.38

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Solution

The third proportional to 31,943,461.22 and 69,483,747.38 is: 151,141,766.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,943,461.22 : 69,483,747.38 = 69,483,747.38 : x
  2. Step 2: Convert to fraction form
    31,943,461.22/69,483,747.38 = 69,483,747.38/x
  3. Step 3: Cross multiply
    31,943,461.22x = 69,483,747.38 × 69,483,747.38
  4. Step 4: Simplify right side
    31,943,461.22x = 4,827,991,149,272,819
  5. Step 5: Solve for x
    x = 4,827,991,149,272,819/31,943,461.22
  6. Step 6: Final answer
    x = 151,141,766.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.