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Finding the Third Proportional to 14,509,619 and 31,671,826

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Solution

The third proportional to 14,509,619 and 31,671,826 is: 69,133,763.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,509,619 : 31,671,826 = 31,671,826 : x
  2. Step 2: Convert to fraction form
    14,509,619/31,671,826 = 31,671,826/x
  3. Step 3: Cross multiply
    14,509,619x = 31,671,826 × 31,671,826
  4. Step 4: Simplify right side
    14,509,619x = 1,003,104,562,174,276
  5. Step 5: Solve for x
    x = 1,003,104,562,174,276/14,509,619
  6. Step 6: Final answer
    x = 69,133,763.07

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.