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Finding the Third Proportional to 4,559,142 and 9,874,848

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Solution

The third proportional to 4,559,142 and 9,874,848 is: 21,388,371.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,559,142 : 9,874,848 = 9,874,848 : x
  2. Step 2: Convert to fraction form
    4,559,142/9,874,848 = 9,874,848/x
  3. Step 3: Cross multiply
    4,559,142x = 9,874,848 × 9,874,848
  4. Step 4: Simplify right side
    4,559,142x = 97,512,623,023,104
  5. Step 5: Solve for x
    x = 97,512,623,023,104/4,559,142
  6. Step 6: Final answer
    x = 21,388,371.55

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.