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Finding the Third Proportional to 1,754,094,430 and 3,900,375,092

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Solution

The third proportional to 1,754,094,430 and 3,900,375,092 is: 8,672,808,942.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,754,094,430 : 3,900,375,092 = 3,900,375,092 : x
  2. Step 2: Convert to fraction form
    1,754,094,430/3,900,375,092 = 3,900,375,092/x
  3. Step 3: Cross multiply
    1,754,094,430x = 3,900,375,092 × 3,900,375,092
  4. Step 4: Simplify right side
    1,754,094,430x = 15,212,925,858,294,007,808
  5. Step 5: Solve for x
    x = 15,212,925,858,294,007,808/1,754,094,430
  6. Step 6: Final answer
    x = 8,672,808,942.39

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.