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Finding the Third Proportional to 4,531,968 and 9,863,168

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Solution

The third proportional to 4,531,968 and 9,863,168 is: 21,465,747.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,531,968 : 9,863,168 = 9,863,168 : x
  2. Step 2: Convert to fraction form
    4,531,968/9,863,168 = 9,863,168/x
  3. Step 3: Cross multiply
    4,531,968x = 9,863,168 × 9,863,168
  4. Step 4: Simplify right side
    4,531,968x = 97,282,082,996,224
  5. Step 5: Solve for x
    x = 97,282,082,996,224/4,531,968
  6. Step 6: Final answer
    x = 21,465,747.99

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.