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Finding the Third Proportional to 31,099,424 and 42,869,943

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Solution

The third proportional to 31,099,424 and 42,869,943 is: 59,095,371.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,099,424 : 42,869,943 = 42,869,943 : x
  2. Step 2: Convert to fraction form
    31,099,424/42,869,943 = 42,869,943/x
  3. Step 3: Cross multiply
    31,099,424x = 42,869,943 × 42,869,943
  4. Step 4: Simplify right side
    31,099,424x = 1,837,832,012,823,249
  5. Step 5: Solve for x
    x = 1,837,832,012,823,249/31,099,424
  6. Step 6: Final answer
    x = 59,095,371.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.