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Finding the Third Proportional to 315,299,906.44 and 736,682,875.31

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Solution

The third proportional to 315,299,906.44 and 736,682,875.31 is: 1,721,223,659.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,299,906.44 : 736,682,875.31 = 736,682,875.31 : x
  2. Step 2: Convert to fraction form
    315,299,906.44/736,682,875.31 = 736,682,875.31/x
  3. Step 3: Cross multiply
    315,299,906.44x = 736,682,875.31 × 736,682,875.31
  4. Step 4: Simplify right side
    315,299,906.44x = 542,701,658,778,692,416
  5. Step 5: Solve for x
    x = 542,701,658,778,692,416/315,299,906.44
  6. Step 6: Final answer
    x = 1,721,223,659.44

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.