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Finding the Third Proportional to 9,742,884 and 13,621,128

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Solution

The third proportional to 9,742,884 and 13,621,128 is: 19,043,142.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,742,884 : 13,621,128 = 13,621,128 : x
  2. Step 2: Convert to fraction form
    9,742,884/13,621,128 = 13,621,128/x
  3. Step 3: Cross multiply
    9,742,884x = 13,621,128 × 13,621,128
  4. Step 4: Simplify right side
    9,742,884x = 185,535,127,992,384
  5. Step 5: Solve for x
    x = 185,535,127,992,384/9,742,884
  6. Step 6: Final answer
    x = 19,043,142.46

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