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Finding the Third Proportional to 3,308,920,699.50 and 7,140,750,230.25

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Solution

The third proportional to 3,308,920,699.50 and 7,140,750,230.25 is: 15,409,953,420.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,308,920,699.50 : 7,140,750,230.25 = 7,140,750,230.25 : x
  2. Step 2: Convert to fraction form
    3,308,920,699.50/7,140,750,230.25 = 7,140,750,230.25/x
  3. Step 3: Cross multiply
    3,308,920,699.50x = 7,140,750,230.25 × 7,140,750,230.25
  4. Step 4: Simplify right side
    3,308,920,699.50x = 50,990,313,850,815,430,656
  5. Step 5: Solve for x
    x = 50,990,313,850,815,430,656/3,308,920,699.50
  6. Step 6: Final answer
    x = 15,409,953,420.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.