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Finding the Third Proportional to 4,561,120 and 9,845,408

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Solution

The third proportional to 4,561,120 and 9,845,408 is: 21,251,810.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,561,120 : 9,845,408 = 9,845,408 : x
  2. Step 2: Convert to fraction form
    4,561,120/9,845,408 = 9,845,408/x
  3. Step 3: Cross multiply
    4,561,120x = 9,845,408 × 9,845,408
  4. Step 4: Simplify right side
    4,561,120x = 96,932,058,686,464
  5. Step 5: Solve for x
    x = 96,932,058,686,464/4,561,120
  6. Step 6: Final answer
    x = 21,251,810.67

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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.