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Finding the Third Proportional to 2,354,693.81 and 5,085,821.63

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Solution

The third proportional to 2,354,693.81 and 5,085,821.63 is: 10,984,690.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,354,693.81 : 5,085,821.63 = 5,085,821.63 : x
  2. Step 2: Convert to fraction form
    2,354,693.81/5,085,821.63 = 5,085,821.63/x
  3. Step 3: Cross multiply
    2,354,693.81x = 5,085,821.63 × 5,085,821.63
  4. Step 4: Simplify right side
    2,354,693.81x = 25,865,581,601,317.64
  5. Step 5: Solve for x
    x = 25,865,581,601,317.64/2,354,693.81
  6. Step 6: Final answer
    x = 10,984,690.01

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.