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Finding the Third Proportional to 4,035,857.91 and 8,610,515.16

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Solution

The third proportional to 4,035,857.91 and 8,610,515.16 is: 18,370,560.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,035,857.91 : 8,610,515.16 = 8,610,515.16 : x
  2. Step 2: Convert to fraction form
    4,035,857.91/8,610,515.16 = 8,610,515.16/x
  3. Step 3: Cross multiply
    4,035,857.91x = 8,610,515.16 × 8,610,515.16
  4. Step 4: Simplify right side
    4,035,857.91x = 74,140,971,256,010.97
  5. Step 5: Solve for x
    x = 74,140,971,256,010.97/4,035,857.91
  6. Step 6: Final answer
    x = 18,370,560.36

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.