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Finding the Third Proportional to 537,021,172.50 and 802,224,437.75

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Solution

The third proportional to 537,021,172.50 and 802,224,437.75 is: 1,198,396,043.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,021,172.50 : 802,224,437.75 = 802,224,437.75 : x
  2. Step 2: Convert to fraction form
    537,021,172.50/802,224,437.75 = 802,224,437.75/x
  3. Step 3: Cross multiply
    537,021,172.50x = 802,224,437.75 × 802,224,437.75
  4. Step 4: Simplify right side
    537,021,172.50x = 643,564,048,523,303,680
  5. Step 5: Solve for x
    x = 643,564,048,523,303,680/537,021,172.50
  6. Step 6: Final answer
    x = 1,198,396,043.73

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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.