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Finding the Third Proportional to 5,169,321 and 8,585,595

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Solution

The third proportional to 5,169,321 and 8,585,595 is: 14,259,598.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,169,321 : 8,585,595 = 8,585,595 : x
  2. Step 2: Convert to fraction form
    5,169,321/8,585,595 = 8,585,595/x
  3. Step 3: Cross multiply
    5,169,321x = 8,585,595 × 8,585,595
  4. Step 4: Simplify right side
    5,169,321x = 73,712,441,504,025
  5. Step 5: Solve for x
    x = 73,712,441,504,025/5,169,321
  6. Step 6: Final answer
    x = 14,259,598.41

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.