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Finding the Third Proportional to 6,483,780 and 15,008,784

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Solution

The third proportional to 6,483,780 and 15,008,784 is: 34,742,634.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,483,780 : 15,008,784 = 15,008,784 : x
  2. Step 2: Convert to fraction form
    6,483,780/15,008,784 = 15,008,784/x
  3. Step 3: Cross multiply
    6,483,780x = 15,008,784 × 15,008,784
  4. Step 4: Simplify right side
    6,483,780x = 225,263,597,158,656
  5. Step 5: Solve for x
    x = 225,263,597,158,656/6,483,780
  6. Step 6: Final answer
    x = 34,742,634.26

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.