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Finding the Third Proportional to 4,511,910 and 9,742,941

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Solution

The third proportional to 4,511,910 and 9,742,941 is: 21,038,739.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,511,910 : 9,742,941 = 9,742,941 : x
  2. Step 2: Convert to fraction form
    4,511,910/9,742,941 = 9,742,941/x
  3. Step 3: Cross multiply
    4,511,910x = 9,742,941 × 9,742,941
  4. Step 4: Simplify right side
    4,511,910x = 94,924,899,329,481
  5. Step 5: Solve for x
    x = 94,924,899,329,481/4,511,910
  6. Step 6: Final answer
    x = 21,038,739.54

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.