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Finding the Third Proportional to 7,863,038.50 and 16,819,314

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Solution

The third proportional to 7,863,038.50 and 16,819,314 is: 35,977,100.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,863,038.50 : 16,819,314 = 16,819,314 : x
  2. Step 2: Convert to fraction form
    7,863,038.50/16,819,314 = 16,819,314/x
  3. Step 3: Cross multiply
    7,863,038.50x = 16,819,314 × 16,819,314
  4. Step 4: Simplify right side
    7,863,038.50x = 282,889,323,430,596
  5. Step 5: Solve for x
    x = 282,889,323,430,596/7,863,038.50
  6. Step 6: Final answer
    x = 35,977,100.13

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Why These Related Problems?

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