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Finding the Third Proportional to 4,679,726 and 10,220,678

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Solution

The third proportional to 4,679,726 and 10,220,678 is: 22,322,302.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,679,726 : 10,220,678 = 10,220,678 : x
  2. Step 2: Convert to fraction form
    4,679,726/10,220,678 = 10,220,678/x
  3. Step 3: Cross multiply
    4,679,726x = 10,220,678 × 10,220,678
  4. Step 4: Simplify right side
    4,679,726x = 104,462,258,779,684
  5. Step 5: Solve for x
    x = 104,462,258,779,684/4,679,726
  6. Step 6: Final answer
    x = 22,322,302.37

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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.