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Finding the Third Proportional to 10,180,366.50 and 14,240,655

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Solution

The third proportional to 10,180,366.50 and 14,240,655 is: 19,920,329.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,180,366.50 : 14,240,655 = 14,240,655 : x
  2. Step 2: Convert to fraction form
    10,180,366.50/14,240,655 = 14,240,655/x
  3. Step 3: Cross multiply
    10,180,366.50x = 14,240,655 × 14,240,655
  4. Step 4: Simplify right side
    10,180,366.50x = 202,796,254,829,025
  5. Step 5: Solve for x
    x = 202,796,254,829,025/10,180,366.50
  6. Step 6: Final answer
    x = 19,920,329.47

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.