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Finding the Third Proportional to 456,921,676.50 and 696,095,894.25

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Solution

The third proportional to 456,921,676.50 and 696,095,894.25 is: 1,060,465,105.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,921,676.50 : 696,095,894.25 = 696,095,894.25 : x
  2. Step 2: Convert to fraction form
    456,921,676.50/696,095,894.25 = 696,095,894.25/x
  3. Step 3: Cross multiply
    456,921,676.50x = 696,095,894.25 × 696,095,894.25
  4. Step 4: Simplify right side
    456,921,676.50x = 484,549,493,991,707,200
  5. Step 5: Solve for x
    x = 484,549,493,991,707,200/456,921,676.50
  6. Step 6: Final answer
    x = 1,060,465,105.76

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.