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Finding the Third Proportional to 957,005,037 and 1,433,911,045.50

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Solution

The third proportional to 957,005,037 and 1,433,911,045.50 is: 2,148,474,466.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    957,005,037 : 1,433,911,045.50 = 1,433,911,045.50 : x
  2. Step 2: Convert to fraction form
    957,005,037/1,433,911,045.50 = 1,433,911,045.50/x
  3. Step 3: Cross multiply
    957,005,037x = 1,433,911,045.50 × 1,433,911,045.50
  4. Step 4: Simplify right side
    957,005,037x = 2,056,100,886,406,903,040
  5. Step 5: Solve for x
    x = 2,056,100,886,406,903,040/957,005,037
  6. Step 6: Final answer
    x = 2,148,474,466.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.