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Finding the Third Proportional to 14,405,360 and 31,202,272

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Solution

The third proportional to 14,405,360 and 31,202,272 is: 67,584,689.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,405,360 : 31,202,272 = 31,202,272 : x
  2. Step 2: Convert to fraction form
    14,405,360/31,202,272 = 31,202,272/x
  3. Step 3: Cross multiply
    14,405,360x = 31,202,272 × 31,202,272
  4. Step 4: Simplify right side
    14,405,360x = 973,581,777,961,984
  5. Step 5: Solve for x
    x = 973,581,777,961,984/14,405,360
  6. Step 6: Final answer
    x = 67,584,689.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.