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Finding the Third Proportional to 10,373,098.78 and 15,223,333.22

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Solution

The third proportional to 10,373,098.78 and 15,223,333.22 is: 22,341,431.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,373,098.78 : 15,223,333.22 = 15,223,333.22 : x
  2. Step 2: Convert to fraction form
    10,373,098.78/15,223,333.22 = 15,223,333.22/x
  3. Step 3: Cross multiply
    10,373,098.78x = 15,223,333.22 × 15,223,333.22
  4. Step 4: Simplify right side
    10,373,098.78x = 231,749,874,289,097.25
  5. Step 5: Solve for x
    x = 231,749,874,289,097.25/10,373,098.78
  6. Step 6: Final answer
    x = 22,341,431.35

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.