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Finding the Third Proportional to 2,415,370.64 and 5,256,762.05

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Solution

The third proportional to 2,415,370.64 and 5,256,762.05 is: 11,440,706.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,415,370.64 : 5,256,762.05 = 5,256,762.05 : x
  2. Step 2: Convert to fraction form
    2,415,370.64/5,256,762.05 = 5,256,762.05/x
  3. Step 3: Cross multiply
    2,415,370.64x = 5,256,762.05 × 5,256,762.05
  4. Step 4: Simplify right side
    2,415,370.64x = 27,633,547,217,465.44
  5. Step 5: Solve for x
    x = 27,633,547,217,465.44/2,415,370.64
  6. Step 6: Final answer
    x = 11,440,706.76

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Why These Related Problems?

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