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Finding the Third Proportional to 5,742,780 and 8,896,515

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Solution

The third proportional to 5,742,780 and 8,896,515 is: 13,782,171.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,742,780 : 8,896,515 = 8,896,515 : x
  2. Step 2: Convert to fraction form
    5,742,780/8,896,515 = 8,896,515/x
  3. Step 3: Cross multiply
    5,742,780x = 8,896,515 × 8,896,515
  4. Step 4: Simplify right side
    5,742,780x = 79,147,979,145,225
  5. Step 5: Solve for x
    x = 79,147,979,145,225/5,742,780
  6. Step 6: Final answer
    x = 13,782,171.55

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.