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Finding the Third Proportional to 9,673,876 and 14,460,222

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Solution

The third proportional to 9,673,876 and 14,460,222 is: 21,614,709.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,673,876 : 14,460,222 = 14,460,222 : x
  2. Step 2: Convert to fraction form
    9,673,876/14,460,222 = 14,460,222/x
  3. Step 3: Cross multiply
    9,673,876x = 14,460,222 × 14,460,222
  4. Step 4: Simplify right side
    9,673,876x = 209,098,020,289,284
  5. Step 5: Solve for x
    x = 209,098,020,289,284/9,673,876
  6. Step 6: Final answer
    x = 21,614,709.58

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.