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Finding the Third Proportional to 9,742,693 and 13,620,859

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Solution

The third proportional to 9,742,693 and 13,620,859 is: 19,042,763.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,742,693 : 13,620,859 = 13,620,859 : x
  2. Step 2: Convert to fraction form
    9,742,693/13,620,859 = 13,620,859/x
  3. Step 3: Cross multiply
    9,742,693x = 13,620,859 × 13,620,859
  4. Step 4: Simplify right side
    9,742,693x = 185,527,799,897,881
  5. Step 5: Solve for x
    x = 185,527,799,897,881/9,742,693
  6. Step 6: Final answer
    x = 19,042,763.63

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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.