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Finding the Third Proportional to 658,590,085.50 and 1,300,523,977.50

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Solution

The third proportional to 658,590,085.50 and 1,300,523,977.50 is: 2,568,156,814.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,590,085.50 : 1,300,523,977.50 = 1,300,523,977.50 : x
  2. Step 2: Convert to fraction form
    658,590,085.50/1,300,523,977.50 = 1,300,523,977.50/x
  3. Step 3: Cross multiply
    658,590,085.50x = 1,300,523,977.50 × 1,300,523,977.50
  4. Step 4: Simplify right side
    658,590,085.50x = 1,691,362,616,052,420,608
  5. Step 5: Solve for x
    x = 1,691,362,616,052,420,608/658,590,085.50
  6. Step 6: Final answer
    x = 2,568,156,814.52

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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.