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Finding the Third Proportional to 9,570,165 and 21,000,369

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Solution

The third proportional to 9,570,165 and 21,000,369 is: 46,082,329.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,570,165 : 21,000,369 = 21,000,369 : x
  2. Step 2: Convert to fraction form
    9,570,165/21,000,369 = 21,000,369/x
  3. Step 3: Cross multiply
    9,570,165x = 21,000,369 × 21,000,369
  4. Step 4: Simplify right side
    9,570,165x = 441,015,498,136,161
  5. Step 5: Solve for x
    x = 441,015,498,136,161/9,570,165
  6. Step 6: Final answer
    x = 46,082,329.63

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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.