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Finding the Third Proportional to 9,742,701 and 13,620,867

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Solution

The third proportional to 9,742,701 and 13,620,867 is: 19,042,770.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,742,701 : 13,620,867 = 13,620,867 : x
  2. Step 2: Convert to fraction form
    9,742,701/13,620,867 = 13,620,867/x
  3. Step 3: Cross multiply
    9,742,701x = 13,620,867 × 13,620,867
  4. Step 4: Simplify right side
    9,742,701x = 185,528,017,831,689
  5. Step 5: Solve for x
    x = 185,528,017,831,689/9,742,701
  6. Step 6: Final answer
    x = 19,042,770.36

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.