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Finding the Third Proportional to 4,606,043.81 and 9,859,116.56

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Solution

The third proportional to 4,606,043.81 and 9,859,116.56 is: 21,103,181.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,606,043.81 : 9,859,116.56 = 9,859,116.56 : x
  2. Step 2: Convert to fraction form
    4,606,043.81/9,859,116.56 = 9,859,116.56/x
  3. Step 3: Cross multiply
    4,606,043.81x = 9,859,116.56 × 9,859,116.56
  4. Step 4: Simplify right side
    4,606,043.81x = 97,202,179,392,961.81
  5. Step 5: Solve for x
    x = 97,202,179,392,961.81/4,606,043.81
  6. Step 6: Final answer
    x = 21,103,181.68

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.