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Finding the Third Proportional to 6,143,592 and 13,650,768

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Solution

The third proportional to 6,143,592 and 13,650,768 is: 30,331,354.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,143,592 : 13,650,768 = 13,650,768 : x
  2. Step 2: Convert to fraction form
    6,143,592/13,650,768 = 13,650,768/x
  3. Step 3: Cross multiply
    6,143,592x = 13,650,768 × 13,650,768
  4. Step 4: Simplify right side
    6,143,592x = 186,343,466,989,824
  5. Step 5: Solve for x
    x = 186,343,466,989,824/6,143,592
  6. Step 6: Final answer
    x = 30,331,354.52

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.