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Finding the Third Proportional to 1,132,864,856 and 1,749,608,004

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Solution

The third proportional to 1,132,864,856 and 1,749,608,004 is: 2,702,112,393.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,132,864,856 : 1,749,608,004 = 1,749,608,004 : x
  2. Step 2: Convert to fraction form
    1,132,864,856/1,749,608,004 = 1,749,608,004/x
  3. Step 3: Cross multiply
    1,132,864,856x = 1,749,608,004 × 1,749,608,004
  4. Step 4: Simplify right side
    1,132,864,856x = 3,061,128,167,660,864,000
  5. Step 5: Solve for x
    x = 3,061,128,167,660,864,000/1,132,864,856
  6. Step 6: Final answer
    x = 2,702,112,393.59

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.