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Finding the Third Proportional to 25,781,751 and 37,284,907.50

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Solution

The third proportional to 25,781,751 and 37,284,907.50 is: 53,920,477.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,781,751 : 37,284,907.50 = 37,284,907.50 : x
  2. Step 2: Convert to fraction form
    25,781,751/37,284,907.50 = 37,284,907.50/x
  3. Step 3: Cross multiply
    25,781,751x = 37,284,907.50 × 37,284,907.50
  4. Step 4: Simplify right side
    25,781,751x = 1,390,164,327,283,556.25
  5. Step 5: Solve for x
    x = 1,390,164,327,283,556.25/25,781,751
  6. Step 6: Final answer
    x = 53,920,477.60

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.