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Finding the Third Proportional to 683,977,091 and 1,386,986,647.50

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Solution

The third proportional to 683,977,091 and 1,386,986,647.50 is: 2,812,567,826.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,977,091 : 1,386,986,647.50 = 1,386,986,647.50 : x
  2. Step 2: Convert to fraction form
    683,977,091/1,386,986,647.50 = 1,386,986,647.50/x
  3. Step 3: Cross multiply
    683,977,091x = 1,386,986,647.50 × 1,386,986,647.50
  4. Step 4: Simplify right side
    683,977,091x = 1,923,731,960,343,289,344
  5. Step 5: Solve for x
    x = 1,923,731,960,343,289,344/683,977,091
  6. Step 6: Final answer
    x = 2,812,567,826.70

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.