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Finding the Third Proportional to 24,140,846 and 51,733,300

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Solution

The third proportional to 24,140,846 and 51,733,300 is: 110,863,319.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,140,846 : 51,733,300 = 51,733,300 : x
  2. Step 2: Convert to fraction form
    24,140,846/51,733,300 = 51,733,300/x
  3. Step 3: Cross multiply
    24,140,846x = 51,733,300 × 51,733,300
  4. Step 4: Simplify right side
    24,140,846x = 2,676,334,328,890,000
  5. Step 5: Solve for x
    x = 2,676,334,328,890,000/24,140,846
  6. Step 6: Final answer
    x = 110,863,319.74

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.