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Finding the Third Proportional to 31,939,791 and 69,484,623

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Solution

The third proportional to 31,939,791 and 69,484,623 is: 151,162,943.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,939,791 : 69,484,623 = 69,484,623 : x
  2. Step 2: Convert to fraction form
    31,939,791/69,484,623 = 69,484,623/x
  3. Step 3: Cross multiply
    31,939,791x = 69,484,623 × 69,484,623
  4. Step 4: Simplify right side
    31,939,791x = 4,828,112,833,452,129
  5. Step 5: Solve for x
    x = 4,828,112,833,452,129/31,939,791
  6. Step 6: Final answer
    x = 151,162,943.85

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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.