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Finding the Third Proportional to 8,561,414 and 12,534,969

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Solution

The third proportional to 8,561,414 and 12,534,969 is: 18,352,744.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,561,414 : 12,534,969 = 12,534,969 : x
  2. Step 2: Convert to fraction form
    8,561,414/12,534,969 = 12,534,969/x
  3. Step 3: Cross multiply
    8,561,414x = 12,534,969 × 12,534,969
  4. Step 4: Simplify right side
    8,561,414x = 157,125,447,830,961
  5. Step 5: Solve for x
    x = 157,125,447,830,961/8,561,414
  6. Step 6: Final answer
    x = 18,352,744.98

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.