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Finding the Third Proportional to 9,677,436 and 14,852,016

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Solution

The third proportional to 9,677,436 and 14,852,016 is: 22,793,473.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,677,436 : 14,852,016 = 14,852,016 : x
  2. Step 2: Convert to fraction form
    9,677,436/14,852,016 = 14,852,016/x
  3. Step 3: Cross multiply
    9,677,436x = 14,852,016 × 14,852,016
  4. Step 4: Simplify right side
    9,677,436x = 220,582,379,264,256
  5. Step 5: Solve for x
    x = 220,582,379,264,256/9,677,436
  6. Step 6: Final answer
    x = 22,793,473.32

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.