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Finding the Third Proportional to 773,967,718 and 1,683,977,042

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Solution

The third proportional to 773,967,718 and 1,683,977,042 is: 3,663,949,557.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    773,967,718 : 1,683,977,042 = 1,683,977,042 : x
  2. Step 2: Convert to fraction form
    773,967,718/1,683,977,042 = 1,683,977,042/x
  3. Step 3: Cross multiply
    773,967,718x = 1,683,977,042 × 1,683,977,042
  4. Step 4: Simplify right side
    773,967,718x = 2,835,778,677,983,069,696
  5. Step 5: Solve for x
    x = 2,835,778,677,983,069,696/773,967,718
  6. Step 6: Final answer
    x = 3,663,949,557.63

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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.