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Finding the Third Proportional to 6,476,102 and 14,044,886

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Solution

The third proportional to 6,476,102 and 14,044,886 is: 30,459,499.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,476,102 : 14,044,886 = 14,044,886 : x
  2. Step 2: Convert to fraction form
    6,476,102/14,044,886 = 14,044,886/x
  3. Step 3: Cross multiply
    6,476,102x = 14,044,886 × 14,044,886
  4. Step 4: Simplify right side
    6,476,102x = 197,258,822,752,996
  5. Step 5: Solve for x
    x = 197,258,822,752,996/6,476,102
  6. Step 6: Final answer
    x = 30,459,499.06

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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.