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Finding the Third Proportional to 6,742,035 and 14,743,215

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Solution

The third proportional to 6,742,035 and 14,743,215 is: 32,239,878.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,742,035 : 14,743,215 = 14,743,215 : x
  2. Step 2: Convert to fraction form
    6,742,035/14,743,215 = 14,743,215/x
  3. Step 3: Cross multiply
    6,742,035x = 14,743,215 × 14,743,215
  4. Step 4: Simplify right side
    6,742,035x = 217,362,388,536,225
  5. Step 5: Solve for x
    x = 217,362,388,536,225/6,742,035
  6. Step 6: Final answer
    x = 32,239,878.40

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.