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Finding the Third Proportional to 9,570,169 and 21,000,382

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Solution

The third proportional to 9,570,169 and 21,000,382 is: 46,082,367.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,570,169 : 21,000,382 = 21,000,382 : x
  2. Step 2: Convert to fraction form
    9,570,169/21,000,382 = 21,000,382/x
  3. Step 3: Cross multiply
    9,570,169x = 21,000,382 × 21,000,382
  4. Step 4: Simplify right side
    9,570,169x = 441,016,044,145,924
  5. Step 5: Solve for x
    x = 441,016,044,145,924/9,570,169
  6. Step 6: Final answer
    x = 46,082,367.42

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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.