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Finding the Third Proportional to 3,846,506,824.50 and 5,747,117,178

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Solution

The third proportional to 3,846,506,824.50 and 5,747,117,178 is: 8,586,844,470.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,846,506,824.50 : 5,747,117,178 = 5,747,117,178 : x
  2. Step 2: Convert to fraction form
    3,846,506,824.50/5,747,117,178 = 5,747,117,178/x
  3. Step 3: Cross multiply
    3,846,506,824.50x = 5,747,117,178 × 5,747,117,178
  4. Step 4: Simplify right side
    3,846,506,824.50x = 33,029,355,857,662,685,184
  5. Step 5: Solve for x
    x = 33,029,355,857,662,685,184/3,846,506,824.50
  6. Step 6: Final answer
    x = 8,586,844,470.75

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.