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Finding the Third Proportional to 9,673,872 and 14,460,216

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Solution

The third proportional to 9,673,872 and 14,460,216 is: 21,614,700.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,673,872 : 14,460,216 = 14,460,216 : x
  2. Step 2: Convert to fraction form
    9,673,872/14,460,216 = 14,460,216/x
  3. Step 3: Cross multiply
    9,673,872x = 14,460,216 × 14,460,216
  4. Step 4: Simplify right side
    9,673,872x = 209,097,846,766,656
  5. Step 5: Solve for x
    x = 209,097,846,766,656/9,673,872
  6. Step 6: Final answer
    x = 21,614,700.58

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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.