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Finding the Third Proportional to 14,278,290 and 21,752,046

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Solution

The third proportional to 14,278,290 and 21,752,046 is: 33,137,827.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,278,290 : 21,752,046 = 21,752,046 : x
  2. Step 2: Convert to fraction form
    14,278,290/21,752,046 = 21,752,046/x
  3. Step 3: Cross multiply
    14,278,290x = 21,752,046 × 21,752,046
  4. Step 4: Simplify right side
    14,278,290x = 473,151,505,186,116
  5. Step 5: Solve for x
    x = 473,151,505,186,116/14,278,290
  6. Step 6: Final answer
    x = 33,137,827.09

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.