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Finding the Third Proportional to 6,738,998 and 14,538,111

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Solution

The third proportional to 6,738,998 and 14,538,111 is: 31,363,219.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,738,998 : 14,538,111 = 14,538,111 : x
  2. Step 2: Convert to fraction form
    6,738,998/14,538,111 = 14,538,111/x
  3. Step 3: Cross multiply
    6,738,998x = 14,538,111 × 14,538,111
  4. Step 4: Simplify right side
    6,738,998x = 211,356,671,448,321
  5. Step 5: Solve for x
    x = 211,356,671,448,321/6,738,998
  6. Step 6: Final answer
    x = 31,363,219.20

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.