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Finding the Third Proportional to 9,929,983.50 and 21,427,530.75

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Solution

The third proportional to 9,929,983.50 and 21,427,530.75 is: 46,237,647.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,929,983.50 : 21,427,530.75 = 21,427,530.75 : x
  2. Step 2: Convert to fraction form
    9,929,983.50/21,427,530.75 = 21,427,530.75/x
  3. Step 3: Cross multiply
    9,929,983.50x = 21,427,530.75 × 21,427,530.75
  4. Step 4: Simplify right side
    9,929,983.50x = 459,139,074,042,195.56
  5. Step 5: Solve for x
    x = 459,139,074,042,195.56/9,929,983.50
  6. Step 6: Final answer
    x = 46,237,647.23

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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.