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Finding the Third Proportional to 11,506,194 and 19,174,689

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Solution

The third proportional to 11,506,194 and 19,174,689 is: 31,953,980.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,506,194 : 19,174,689 = 19,174,689 : x
  2. Step 2: Convert to fraction form
    11,506,194/19,174,689 = 19,174,689/x
  3. Step 3: Cross multiply
    11,506,194x = 19,174,689 × 19,174,689
  4. Step 4: Simplify right side
    11,506,194x = 367,668,698,246,721
  5. Step 5: Solve for x
    x = 367,668,698,246,721/11,506,194
  6. Step 6: Final answer
    x = 31,953,980.46

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.