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Finding the Third Proportional to 773,967,722 and 1,683,977,050

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Solution

The third proportional to 773,967,722 and 1,683,977,050 is: 3,663,949,573.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    773,967,722 : 1,683,977,050 = 1,683,977,050 : x
  2. Step 2: Convert to fraction form
    773,967,722/1,683,977,050 = 1,683,977,050/x
  3. Step 3: Cross multiply
    773,967,722x = 1,683,977,050 × 1,683,977,050
  4. Step 4: Simplify right side
    773,967,722x = 2,835,778,704,926,702,592
  5. Step 5: Solve for x
    x = 2,835,778,704,926,702,592/773,967,722
  6. Step 6: Final answer
    x = 3,663,949,573.50

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.