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Finding the Third Proportional to 334,409,321 and 699,310,071

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Solution

The third proportional to 334,409,321 and 699,310,071 is: 1,462,383,207.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,409,321 : 699,310,071 = 699,310,071 : x
  2. Step 2: Convert to fraction form
    334,409,321/699,310,071 = 699,310,071/x
  3. Step 3: Cross multiply
    334,409,321x = 699,310,071 × 699,310,071
  4. Step 4: Simplify right side
    334,409,321x = 489,034,575,402,025,024
  5. Step 5: Solve for x
    x = 489,034,575,402,025,024/334,409,321
  6. Step 6: Final answer
    x = 1,462,383,207.32

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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.