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Finding the Third Proportional to 9,890,643 and 20,844,006

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Solution

The third proportional to 9,890,643 and 20,844,006 is: 43,927,638.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,890,643 : 20,844,006 = 20,844,006 : x
  2. Step 2: Convert to fraction form
    9,890,643/20,844,006 = 20,844,006/x
  3. Step 3: Cross multiply
    9,890,643x = 20,844,006 × 20,844,006
  4. Step 4: Simplify right side
    9,890,643x = 434,472,586,128,036
  5. Step 5: Solve for x
    x = 434,472,586,128,036/9,890,643
  6. Step 6: Final answer
    x = 43,927,638.08

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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.