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Finding the Third Proportional to 34,002,117 and 51,102,823.50

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Solution

The third proportional to 34,002,117 and 51,102,823.50 is: 76,803,999.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,002,117 : 51,102,823.50 = 51,102,823.50 : x
  2. Step 2: Convert to fraction form
    34,002,117/51,102,823.50 = 51,102,823.50/x
  3. Step 3: Cross multiply
    34,002,117x = 51,102,823.50 × 51,102,823.50
  4. Step 4: Simplify right side
    34,002,117x = 2,611,498,569,672,152
  5. Step 5: Solve for x
    x = 2,611,498,569,672,152/34,002,117
  6. Step 6: Final answer
    x = 76,803,999.28

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Why These Related Problems?

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