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Finding the Third Proportional to 7,777,824 and 12,173,332

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Solution

The third proportional to 7,777,824 and 12,173,332 is: 19,052,888.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,777,824 : 12,173,332 = 12,173,332 : x
  2. Step 2: Convert to fraction form
    7,777,824/12,173,332 = 12,173,332/x
  3. Step 3: Cross multiply
    7,777,824x = 12,173,332 × 12,173,332
  4. Step 4: Simplify right side
    7,777,824x = 148,190,011,982,224
  5. Step 5: Solve for x
    x = 148,190,011,982,224/7,777,824
  6. Step 6: Final answer
    x = 19,052,888.31

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.