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Finding the Third Proportional to 5,038,848 and 7,651,584

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Solution

The third proportional to 5,038,848 and 7,651,584 is: 11,619,072

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,038,848 : 7,651,584 = 7,651,584 : x
  2. Step 2: Convert to fraction form
    5,038,848/7,651,584 = 7,651,584/x
  3. Step 3: Cross multiply
    5,038,848x = 7,651,584 × 7,651,584
  4. Step 4: Simplify right side
    5,038,848x = 58,546,737,709,056
  5. Step 5: Solve for x
    x = 58,546,737,709,056/5,038,848
  6. Step 6: Final answer
    x = 11,619,072

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.