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Finding the Third Proportional to 6,291,990 and 13,784,492.25

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Solution

The third proportional to 6,291,990 and 13,784,492.25 is: 30,199,066.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,291,990 : 13,784,492.25 = 13,784,492.25 : x
  2. Step 2: Convert to fraction form
    6,291,990/13,784,492.25 = 13,784,492.25/x
  3. Step 3: Cross multiply
    6,291,990x = 13,784,492.25 × 13,784,492.25
  4. Step 4: Simplify right side
    6,291,990x = 190,012,226,590,310.06
  5. Step 5: Solve for x
    x = 190,012,226,590,310.06/6,291,990
  6. Step 6: Final answer
    x = 30,199,066.84

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.