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Finding the Third Proportional to 9,857,106 and 21,572,406

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Solution

The third proportional to 9,857,106 and 21,572,406 is: 47,211,493.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,857,106 : 21,572,406 = 21,572,406 : x
  2. Step 2: Convert to fraction form
    9,857,106/21,572,406 = 21,572,406/x
  3. Step 3: Cross multiply
    9,857,106x = 21,572,406 × 21,572,406
  4. Step 4: Simplify right side
    9,857,106x = 465,368,700,628,836
  5. Step 5: Solve for x
    x = 465,368,700,628,836/9,857,106
  6. Step 6: Final answer
    x = 47,211,493.99

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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.