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Finding the Third Proportional to 11,429,886 and 24,450,576

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Solution

The third proportional to 11,429,886 and 24,450,576 is: 52,304,167.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,429,886 : 24,450,576 = 24,450,576 : x
  2. Step 2: Convert to fraction form
    11,429,886/24,450,576 = 24,450,576/x
  3. Step 3: Cross multiply
    11,429,886x = 24,450,576 × 24,450,576
  4. Step 4: Simplify right side
    11,429,886x = 597,830,666,731,776
  5. Step 5: Solve for x
    x = 597,830,666,731,776/11,429,886
  6. Step 6: Final answer
    x = 52,304,167.05

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.