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Finding the Third Proportional to 1,175,072,189 and 1,777,721,321

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Solution

The third proportional to 1,175,072,189 and 1,777,721,321 is: 2,689,445,912.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,175,072,189 : 1,777,721,321 = 1,777,721,321 : x
  2. Step 2: Convert to fraction form
    1,175,072,189/1,777,721,321 = 1,777,721,321/x
  3. Step 3: Cross multiply
    1,175,072,189x = 1,777,721,321 × 1,777,721,321
  4. Step 4: Simplify right side
    1,175,072,189x = 3,160,293,095,137,985,024
  5. Step 5: Solve for x
    x = 3,160,293,095,137,985,024/1,175,072,189
  6. Step 6: Final answer
    x = 2,689,445,912.11

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.