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Finding the Third Proportional to 9,907,701.75 and 20,495,049.75

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Solution

The third proportional to 9,907,701.75 and 20,495,049.75 is: 42,396,014.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,907,701.75 : 20,495,049.75 = 20,495,049.75 : x
  2. Step 2: Convert to fraction form
    9,907,701.75/20,495,049.75 = 20,495,049.75/x
  3. Step 3: Cross multiply
    9,907,701.75x = 20,495,049.75 × 20,495,049.75
  4. Step 4: Simplify right side
    9,907,701.75x = 420,047,064,254,975.06
  5. Step 5: Solve for x
    x = 420,047,064,254,975.06/9,907,701.75
  6. Step 6: Final answer
    x = 42,396,014.22

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.