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Finding the Third Proportional to 23,405,946 and 31,065,642

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Solution

The third proportional to 23,405,946 and 31,065,642 is: 41,232,006.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,405,946 : 31,065,642 = 31,065,642 : x
  2. Step 2: Convert to fraction form
    23,405,946/31,065,642 = 31,065,642/x
  3. Step 3: Cross multiply
    23,405,946x = 31,065,642 × 31,065,642
  4. Step 4: Simplify right side
    23,405,946x = 965,074,112,872,164
  5. Step 5: Solve for x
    x = 965,074,112,872,164/23,405,946
  6. Step 6: Final answer
    x = 41,232,006.30

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.