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Finding the Third Proportional to 52,869,546 and 80,823,913.50

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Solution

The third proportional to 52,869,546 and 80,823,913.50 is: 123,558,938.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,869,546 : 80,823,913.50 = 80,823,913.50 : x
  2. Step 2: Convert to fraction form
    52,869,546/80,823,913.50 = 80,823,913.50/x
  3. Step 3: Cross multiply
    52,869,546x = 80,823,913.50 × 80,823,913.50
  4. Step 4: Simplify right side
    52,869,546x = 6,532,504,993,455,482
  5. Step 5: Solve for x
    x = 6,532,504,993,455,482/52,869,546
  6. Step 6: Final answer
    x = 123,558,938.70

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Why These Related Problems?

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