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Finding the Third Proportional to 5,190,480 and 11,358,461.25

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Solution

The third proportional to 5,190,480 and 11,358,461.25 is: 24,856,013.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,190,480 : 11,358,461.25 = 11,358,461.25 : x
  2. Step 2: Convert to fraction form
    5,190,480/11,358,461.25 = 11,358,461.25/x
  3. Step 3: Cross multiply
    5,190,480x = 11,358,461.25 × 11,358,461.25
  4. Step 4: Simplify right side
    5,190,480x = 129,014,641,967,751.56
  5. Step 5: Solve for x
    x = 129,014,641,967,751.56/5,190,480
  6. Step 6: Final answer
    x = 24,856,013.70

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.