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Finding the Third Proportional to 10,213,438.50 and 21,883,955.63

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Solution

The third proportional to 10,213,438.50 and 21,883,955.63 is: 46,889,939.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,213,438.50 : 21,883,955.63 = 21,883,955.63 : x
  2. Step 2: Convert to fraction form
    10,213,438.50/21,883,955.63 = 21,883,955.63/x
  3. Step 3: Cross multiply
    10,213,438.50x = 21,883,955.63 × 21,883,955.63
  4. Step 4: Simplify right side
    10,213,438.50x = 478,907,513,796,969.12
  5. Step 5: Solve for x
    x = 478,907,513,796,969.12/10,213,438.50
  6. Step 6: Final answer
    x = 46,889,939.54

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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.