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Finding the Third Proportional to 9,843,846 and 21,411,084

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Solution

The third proportional to 9,843,846 and 21,411,084 is: 46,570,671.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,843,846 : 21,411,084 = 21,411,084 : x
  2. Step 2: Convert to fraction form
    9,843,846/21,411,084 = 21,411,084/x
  3. Step 3: Cross multiply
    9,843,846x = 21,411,084 × 21,411,084
  4. Step 4: Simplify right side
    9,843,846x = 458,434,518,055,056
  5. Step 5: Solve for x
    x = 458,434,518,055,056/9,843,846
  6. Step 6: Final answer
    x = 46,570,671.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.