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Finding the Third Proportional to 13,830,412 and 20,297,209

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Solution

The third proportional to 13,830,412 and 20,297,209 is: 29,787,738.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,830,412 : 20,297,209 = 20,297,209 : x
  2. Step 2: Convert to fraction form
    13,830,412/20,297,209 = 20,297,209/x
  3. Step 3: Cross multiply
    13,830,412x = 20,297,209 × 20,297,209
  4. Step 4: Simplify right side
    13,830,412x = 411,976,693,189,681
  5. Step 5: Solve for x
    x = 411,976,693,189,681/13,830,412
  6. Step 6: Final answer
    x = 29,787,738.30

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.