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Finding the Third Proportional to 677,495,485.50 and 1,035,715,763.25

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Solution

The third proportional to 677,495,485.50 and 1,035,715,763.25 is: 1,583,342,125.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,495,485.50 : 1,035,715,763.25 = 1,035,715,763.25 : x
  2. Step 2: Convert to fraction form
    677,495,485.50/1,035,715,763.25 = 1,035,715,763.25/x
  3. Step 3: Cross multiply
    677,495,485.50x = 1,035,715,763.25 × 1,035,715,763.25
  4. Step 4: Simplify right side
    677,495,485.50x = 1,072,707,142,244,530,048
  5. Step 5: Solve for x
    x = 1,072,707,142,244,530,048/677,495,485.50
  6. Step 6: Final answer
    x = 1,583,342,125.82

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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.