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Finding the Third Proportional to 11,742,068 and 17,961,867

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Solution

The third proportional to 11,742,068 and 17,961,867 is: 27,476,307.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,742,068 : 17,961,867 = 17,961,867 : x
  2. Step 2: Convert to fraction form
    11,742,068/17,961,867 = 17,961,867/x
  3. Step 3: Cross multiply
    11,742,068x = 17,961,867 × 17,961,867
  4. Step 4: Simplify right side
    11,742,068x = 322,628,666,125,689
  5. Step 5: Solve for x
    x = 322,628,666,125,689/11,742,068
  6. Step 6: Final answer
    x = 27,476,307.08

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.