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Finding the Third Proportional to 9,742,706 and 13,620,872

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Solution

The third proportional to 9,742,706 and 13,620,872 is: 19,042,774.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,742,706 : 13,620,872 = 13,620,872 : x
  2. Step 2: Convert to fraction form
    9,742,706/13,620,872 = 13,620,872/x
  3. Step 3: Cross multiply
    9,742,706x = 13,620,872 × 13,620,872
  4. Step 4: Simplify right side
    9,742,706x = 185,528,154,040,384
  5. Step 5: Solve for x
    x = 185,528,154,040,384/9,742,706
  6. Step 6: Final answer
    x = 19,042,774.57

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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.