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Finding the Third Proportional to 7,689,313.50 and 10,814,511

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Solution

The third proportional to 7,689,313.50 and 10,814,511 is: 15,209,894.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,689,313.50 : 10,814,511 = 10,814,511 : x
  2. Step 2: Convert to fraction form
    7,689,313.50/10,814,511 = 10,814,511/x
  3. Step 3: Cross multiply
    7,689,313.50x = 10,814,511 × 10,814,511
  4. Step 4: Simplify right side
    7,689,313.50x = 116,953,648,169,121
  5. Step 5: Solve for x
    x = 116,953,648,169,121/7,689,313.50
  6. Step 6: Final answer
    x = 15,209,894.64

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.