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Finding the Third Proportional to 27,058,389.19 and 36,762,148.69

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Solution

The third proportional to 27,058,389.19 and 36,762,148.69 is: 49,945,899.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,058,389.19 : 36,762,148.69 = 36,762,148.69 : x
  2. Step 2: Convert to fraction form
    27,058,389.19/36,762,148.69 = 36,762,148.69/x
  3. Step 3: Cross multiply
    27,058,389.19x = 36,762,148.69 × 36,762,148.69
  4. Step 4: Simplify right side
    27,058,389.19x = 1,351,455,576,121,858
  5. Step 5: Solve for x
    x = 1,351,455,576,121,858/27,058,389.19
  6. Step 6: Final answer
    x = 49,945,899.10

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.