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Finding the Third Proportional to 334,409,319 and 699,310,066.50

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Solution

The third proportional to 334,409,319 and 699,310,066.50 is: 1,462,383,197.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,409,319 : 699,310,066.50 = 699,310,066.50 : x
  2. Step 2: Convert to fraction form
    334,409,319/699,310,066.50 = 699,310,066.50/x
  3. Step 3: Cross multiply
    334,409,319x = 699,310,066.50 × 699,310,066.50
  4. Step 4: Simplify right side
    334,409,319x = 489,034,569,108,234,432
  5. Step 5: Solve for x
    x = 489,034,569,108,234,432/334,409,319
  6. Step 6: Final answer
    x = 1,462,383,197.25

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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.