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Finding the Third Proportional to 7,564,705,991.72 and 16,554,436,772.06

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Solution

The third proportional to 7,564,705,991.72 and 16,554,436,772.06 is: 36,227,366,554.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,564,705,991.72 : 16,554,436,772.06 = 16,554,436,772.06 : x
  2. Step 2: Convert to fraction form
    7,564,705,991.72/16,554,436,772.06 = 16,554,436,772.06/x
  3. Step 3: Cross multiply
    7,564,705,991.72x = 16,554,436,772.06 × 16,554,436,772.06
  4. Step 4: Simplify right side
    7,564,705,991.72x = 274,049,376,840,198,553,600
  5. Step 5: Solve for x
    x = 274,049,376,840,198,553,600/7,564,705,991.72
  6. Step 6: Final answer
    x = 36,227,366,554.65

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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.