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Finding the Third Proportional to 6,334,652 and 13,830,448

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Solution

The third proportional to 6,334,652 and 13,830,448 is: 30,196,022.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,334,652 : 13,830,448 = 13,830,448 : x
  2. Step 2: Convert to fraction form
    6,334,652/13,830,448 = 13,830,448/x
  3. Step 3: Cross multiply
    6,334,652x = 13,830,448 × 13,830,448
  4. Step 4: Simplify right side
    6,334,652x = 191,281,291,880,704
  5. Step 5: Solve for x
    x = 191,281,291,880,704/6,334,652
  6. Step 6: Final answer
    x = 30,196,022.11

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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.