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Finding the Third Proportional to 9,841,056 and 13,852,320

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Solution

The third proportional to 9,841,056 and 13,852,320 is: 19,498,595.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,841,056 : 13,852,320 = 13,852,320 : x
  2. Step 2: Convert to fraction form
    9,841,056/13,852,320 = 13,852,320/x
  3. Step 3: Cross multiply
    9,841,056x = 13,852,320 × 13,852,320
  4. Step 4: Simplify right side
    9,841,056x = 191,886,769,382,400
  5. Step 5: Solve for x
    x = 191,886,769,382,400/9,841,056
  6. Step 6: Final answer
    x = 19,498,595.41

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.