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Finding the Third Proportional to 295,259,913 and 689,860,390.50

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Solution

The third proportional to 295,259,913 and 689,860,390.50 is: 1,611,825,166.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,259,913 : 689,860,390.50 = 689,860,390.50 : x
  2. Step 2: Convert to fraction form
    295,259,913/689,860,390.50 = 689,860,390.50/x
  3. Step 3: Cross multiply
    295,259,913x = 689,860,390.50 × 689,860,390.50
  4. Step 4: Simplify right side
    295,259,913x = 475,907,358,380,812,480
  5. Step 5: Solve for x
    x = 475,907,358,380,812,480/295,259,913
  6. Step 6: Final answer
    x = 1,611,825,166.33

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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.