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Finding the Third Proportional to 10,026,018 and 14,616,531

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Solution

The third proportional to 10,026,018 and 14,616,531 is: 21,308,856.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,026,018 : 14,616,531 = 14,616,531 : x
  2. Step 2: Convert to fraction form
    10,026,018/14,616,531 = 14,616,531/x
  3. Step 3: Cross multiply
    10,026,018x = 14,616,531 × 14,616,531
  4. Step 4: Simplify right side
    10,026,018x = 213,642,978,473,961
  5. Step 5: Solve for x
    x = 213,642,978,473,961/10,026,018
  6. Step 6: Final answer
    x = 21,308,856.46

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.