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Finding the Third Proportional to 14,405,362 and 31,202,276

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Solution

The third proportional to 14,405,362 and 31,202,276 is: 67,584,697.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,405,362 : 31,202,276 = 31,202,276 : x
  2. Step 2: Convert to fraction form
    14,405,362/31,202,276 = 31,202,276/x
  3. Step 3: Cross multiply
    14,405,362x = 31,202,276 × 31,202,276
  4. Step 4: Simplify right side
    14,405,362x = 973,582,027,580,176
  5. Step 5: Solve for x
    x = 973,582,027,580,176/14,405,362
  6. Step 6: Final answer
    x = 67,584,697.11

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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.