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Finding the Third Proportional to 2,311,746.75 and 5,017,430.25

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Solution

The third proportional to 2,311,746.75 and 5,017,430.25 is: 10,889,863.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,311,746.75 : 5,017,430.25 = 5,017,430.25 : x
  2. Step 2: Convert to fraction form
    2,311,746.75/5,017,430.25 = 5,017,430.25/x
  3. Step 3: Cross multiply
    2,311,746.75x = 5,017,430.25 × 5,017,430.25
  4. Step 4: Simplify right side
    2,311,746.75x = 25,174,606,313,615.06
  5. Step 5: Solve for x
    x = 25,174,606,313,615.06/2,311,746.75
  6. Step 6: Final answer
    x = 10,889,863.40

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.