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Finding the Third Proportional to 5,742,802 and 8,896,551

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Solution

The third proportional to 5,742,802 and 8,896,551 is: 13,782,230.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,742,802 : 8,896,551 = 8,896,551 : x
  2. Step 2: Convert to fraction form
    5,742,802/8,896,551 = 8,896,551/x
  3. Step 3: Cross multiply
    5,742,802x = 8,896,551 × 8,896,551
  4. Step 4: Simplify right side
    5,742,802x = 79,148,619,695,601
  5. Step 5: Solve for x
    x = 79,148,619,695,601/5,742,802
  6. Step 6: Final answer
    x = 13,782,230.29

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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.