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Finding the Third Proportional to 13,930,277 and 18,916,971.50

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Solution

The third proportional to 13,930,277 and 18,916,971.50 is: 25,688,779.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,930,277 : 18,916,971.50 = 18,916,971.50 : x
  2. Step 2: Convert to fraction form
    13,930,277/18,916,971.50 = 18,916,971.50/x
  3. Step 3: Cross multiply
    13,930,277x = 18,916,971.50 × 18,916,971.50
  4. Step 4: Simplify right side
    13,930,277x = 357,851,810,731,812.25
  5. Step 5: Solve for x
    x = 357,851,810,731,812.25/13,930,277
  6. Step 6: Final answer
    x = 25,688,779.25

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.