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Finding the Third Proportional to 6,364,459 and 14,169,470

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Solution

The third proportional to 6,364,459 and 14,169,470 is: 31,546,103.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,364,459 : 14,169,470 = 14,169,470 : x
  2. Step 2: Convert to fraction form
    6,364,459/14,169,470 = 14,169,470/x
  3. Step 3: Cross multiply
    6,364,459x = 14,169,470 × 14,169,470
  4. Step 4: Simplify right side
    6,364,459x = 200,773,880,080,900
  5. Step 5: Solve for x
    x = 200,773,880,080,900/6,364,459
  6. Step 6: Final answer
    x = 31,546,103.15

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.