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Finding the Third Proportional to 1,749,844,026 and 4,130,672,085

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Solution

The third proportional to 1,749,844,026 and 4,130,672,085 is: 9,750,841,572.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,749,844,026 : 4,130,672,085 = 4,130,672,085 : x
  2. Step 2: Convert to fraction form
    1,749,844,026/4,130,672,085 = 4,130,672,085/x
  3. Step 3: Cross multiply
    1,749,844,026x = 4,130,672,085 × 4,130,672,085
  4. Step 4: Simplify right side
    1,749,844,026x = 17,062,451,873,798,246,400
  5. Step 5: Solve for x
    x = 17,062,451,873,798,246,400/1,749,844,026
  6. Step 6: Final answer
    x = 9,750,841,572.32

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.