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Finding the Third Proportional to 9,570,164 and 21,000,370

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Solution

The third proportional to 9,570,164 and 21,000,370 is: 46,082,338.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,570,164 : 21,000,370 = 21,000,370 : x
  2. Step 2: Convert to fraction form
    9,570,164/21,000,370 = 21,000,370/x
  3. Step 3: Cross multiply
    9,570,164x = 21,000,370 × 21,000,370
  4. Step 4: Simplify right side
    9,570,164x = 441,015,540,136,900
  5. Step 5: Solve for x
    x = 441,015,540,136,900/9,570,164
  6. Step 6: Final answer
    x = 46,082,338.83

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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.