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Finding the Third Proportional to 334,690,007.06 and 723,158,890.88

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Solution

The third proportional to 334,690,007.06 and 723,158,890.88 is: 1,562,516,867.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,690,007.06 : 723,158,890.88 = 723,158,890.88 : x
  2. Step 2: Convert to fraction form
    334,690,007.06/723,158,890.88 = 723,158,890.88/x
  3. Step 3: Cross multiply
    334,690,007.06x = 723,158,890.88 × 723,158,890.88
  4. Step 4: Simplify right side
    334,690,007.06x = 522,958,781,451,560,128
  5. Step 5: Solve for x
    x = 522,958,781,451,560,128/334,690,007.06
  6. Step 6: Final answer
    x = 1,562,516,867.60

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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.