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Finding the Third Proportional to 31,939,795.13 and 69,484,638.38

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Solution

The third proportional to 31,939,795.13 and 69,484,638.38 is: 151,162,991.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,939,795.13 : 69,484,638.38 = 69,484,638.38 : x
  2. Step 2: Convert to fraction form
    31,939,795.13/69,484,638.38 = 69,484,638.38/x
  3. Step 3: Cross multiply
    31,939,795.13x = 69,484,638.38 × 69,484,638.38
  4. Step 4: Simplify right side
    31,939,795.13x = 4,828,114,970,104,523
  5. Step 5: Solve for x
    x = 4,828,114,970,104,523/31,939,795.13
  6. Step 6: Final answer
    x = 151,162,991.22

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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.