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Finding the Third Proportional to 2,317,095.75 and 5,046,116.25

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Solution

The third proportional to 2,317,095.75 and 5,046,116.25 is: 10,989,312.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,317,095.75 : 5,046,116.25 = 5,046,116.25 : x
  2. Step 2: Convert to fraction form
    2,317,095.75/5,046,116.25 = 5,046,116.25/x
  3. Step 3: Cross multiply
    2,317,095.75x = 5,046,116.25 × 5,046,116.25
  4. Step 4: Simplify right side
    2,317,095.75x = 25,463,289,208,514.06
  5. Step 5: Solve for x
    x = 25,463,289,208,514.06/2,317,095.75
  6. Step 6: Final answer
    x = 10,989,312.47

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.