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Finding the Third Proportional to 10,093,534 and 22,141,206

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Solution

The third proportional to 10,093,534 and 22,141,206 is: 48,569,014.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,093,534 : 22,141,206 = 22,141,206 : x
  2. Step 2: Convert to fraction form
    10,093,534/22,141,206 = 22,141,206/x
  3. Step 3: Cross multiply
    10,093,534x = 22,141,206 × 22,141,206
  4. Step 4: Simplify right side
    10,093,534x = 490,233,003,134,436
  5. Step 5: Solve for x
    x = 490,233,003,134,436/10,093,534
  6. Step 6: Final answer
    x = 48,569,014.89

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.