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Finding the Third Proportional to 7,575,928 and 16,569,032

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Solution

The third proportional to 7,575,928 and 16,569,032 is: 36,237,517.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,575,928 : 16,569,032 = 16,569,032 : x
  2. Step 2: Convert to fraction form
    7,575,928/16,569,032 = 16,569,032/x
  3. Step 3: Cross multiply
    7,575,928x = 16,569,032 × 16,569,032
  4. Step 4: Simplify right side
    7,575,928x = 274,532,821,417,024
  5. Step 5: Solve for x
    x = 274,532,821,417,024/7,575,928
  6. Step 6: Final answer
    x = 36,237,517.23

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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.