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Finding the Third Proportional to 5,882,907 and 12,742,680

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Solution

The third proportional to 5,882,907 and 12,742,680 is: 27,601,302.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,882,907 : 12,742,680 = 12,742,680 : x
  2. Step 2: Convert to fraction form
    5,882,907/12,742,680 = 12,742,680/x
  3. Step 3: Cross multiply
    5,882,907x = 12,742,680 × 12,742,680
  4. Step 4: Simplify right side
    5,882,907x = 162,375,893,582,400
  5. Step 5: Solve for x
    x = 162,375,893,582,400/5,882,907
  6. Step 6: Final answer
    x = 27,601,302.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.