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Finding the Third Proportional to 3,597,063,009 and 5,395,594,148

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Solution

The third proportional to 3,597,063,009 and 5,395,594,148 is: 8,093,390,673.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,597,063,009 : 5,395,594,148 = 5,395,594,148 : x
  2. Step 2: Convert to fraction form
    3,597,063,009/5,395,594,148 = 5,395,594,148/x
  3. Step 3: Cross multiply
    3,597,063,009x = 5,395,594,148 × 5,395,594,148
  4. Step 4: Simplify right side
    3,597,063,009x = 29,112,436,209,931,845,632
  5. Step 5: Solve for x
    x = 29,112,436,209,931,845,632/3,597,063,009
  6. Step 6: Final answer
    x = 8,093,390,673.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.