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Finding the Third Proportional to 19,497,150 and 27,256,842

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Solution

The third proportional to 19,497,150 and 27,256,842 is: 38,104,822.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,497,150 : 27,256,842 = 27,256,842 : x
  2. Step 2: Convert to fraction form
    19,497,150/27,256,842 = 27,256,842/x
  3. Step 3: Cross multiply
    19,497,150x = 27,256,842 × 27,256,842
  4. Step 4: Simplify right side
    19,497,150x = 742,935,435,812,964
  5. Step 5: Solve for x
    x = 742,935,435,812,964/19,497,150
  6. Step 6: Final answer
    x = 38,104,822.28

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.