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Finding the Third Proportional to 4,566,963 and 9,457,647

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Solution

The third proportional to 4,566,963 and 9,457,647 is: 19,585,682.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,566,963 : 9,457,647 = 9,457,647 : x
  2. Step 2: Convert to fraction form
    4,566,963/9,457,647 = 9,457,647/x
  3. Step 3: Cross multiply
    4,566,963x = 9,457,647 × 9,457,647
  4. Step 4: Simplify right side
    4,566,963x = 89,447,086,776,609
  5. Step 5: Solve for x
    x = 89,447,086,776,609/4,566,963
  6. Step 6: Final answer
    x = 19,585,682.38

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.