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Finding the Third Proportional to 334,409,458.50 and 699,310,327.50

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Solution

The third proportional to 334,409,458.50 and 699,310,327.50 is: 1,462,383,678.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,409,458.50 : 699,310,327.50 = 699,310,327.50 : x
  2. Step 2: Convert to fraction form
    334,409,458.50/699,310,327.50 = 699,310,327.50/x
  3. Step 3: Cross multiply
    334,409,458.50x = 699,310,327.50 × 699,310,327.50
  4. Step 4: Simplify right side
    334,409,458.50x = 489,034,934,148,157,248
  5. Step 5: Solve for x
    x = 489,034,934,148,157,248/334,409,458.50
  6. Step 6: Final answer
    x = 1,462,383,678.80

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.