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Finding the Third Proportional to 10,889,202.09 and 23,698,726.88

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Solution

The third proportional to 10,889,202.09 and 23,698,726.88 is: 51,576,750.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,889,202.09 : 23,698,726.88 = 23,698,726.88 : x
  2. Step 2: Convert to fraction form
    10,889,202.09/23,698,726.88 = 23,698,726.88/x
  3. Step 3: Cross multiply
    10,889,202.09x = 23,698,726.88 × 23,698,726.88
  4. Step 4: Simplify right side
    10,889,202.09x = 561,629,655,495,847.25
  5. Step 5: Solve for x
    x = 561,629,655,495,847.25/10,889,202.09
  6. Step 6: Final answer
    x = 51,576,750.13

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.