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Finding the Third Proportional to 4,710,441 and 10,166,946

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Solution

The third proportional to 4,710,441 and 10,166,946 is: 21,944,185.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,710,441 : 10,166,946 = 10,166,946 : x
  2. Step 2: Convert to fraction form
    4,710,441/10,166,946 = 10,166,946/x
  3. Step 3: Cross multiply
    4,710,441x = 10,166,946 × 10,166,946
  4. Step 4: Simplify right side
    4,710,441x = 103,366,790,966,916
  5. Step 5: Solve for x
    x = 103,366,790,966,916/4,710,441
  6. Step 6: Final answer
    x = 21,944,185.47

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.