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Finding the Third Proportional to 9,890,656 and 20,844,032

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Solution

The third proportional to 9,890,656 and 20,844,032 is: 43,927,689.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,890,656 : 20,844,032 = 20,844,032 : x
  2. Step 2: Convert to fraction form
    9,890,656/20,844,032 = 20,844,032/x
  3. Step 3: Cross multiply
    9,890,656x = 20,844,032 × 20,844,032
  4. Step 4: Simplify right side
    9,890,656x = 434,473,670,017,024
  5. Step 5: Solve for x
    x = 434,473,670,017,024/9,890,656
  6. Step 6: Final answer
    x = 43,927,689.93

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.