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Finding the Third Proportional to 536,235,025.50 and 1,154,639,908.69

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Solution

The third proportional to 536,235,025.50 and 1,154,639,908.69 is: 2,486,210,813.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,235,025.50 : 1,154,639,908.69 = 1,154,639,908.69 : x
  2. Step 2: Convert to fraction form
    536,235,025.50/1,154,639,908.69 = 1,154,639,908.69/x
  3. Step 3: Cross multiply
    536,235,025.50x = 1,154,639,908.69 × 1,154,639,908.69
  4. Step 4: Simplify right side
    536,235,025.50x = 1,333,193,318,733,878,272
  5. Step 5: Solve for x
    x = 1,333,193,318,733,878,272/536,235,025.50
  6. Step 6: Final answer
    x = 2,486,210,813.05

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.