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Finding the Third Proportional to 10,005,743 and 21,841,236

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Solution

The third proportional to 10,005,743 and 21,841,236 is: 47,676,578.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,005,743 : 21,841,236 = 21,841,236 : x
  2. Step 2: Convert to fraction form
    10,005,743/21,841,236 = 21,841,236/x
  3. Step 3: Cross multiply
    10,005,743x = 21,841,236 × 21,841,236
  4. Step 4: Simplify right side
    10,005,743x = 477,039,590,007,696
  5. Step 5: Solve for x
    x = 477,039,590,007,696/10,005,743
  6. Step 6: Final answer
    x = 47,676,578.34

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