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Finding the Third Proportional to 23,129,609.88 and 51,429,257.25

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Solution

The third proportional to 23,129,609.88 and 51,429,257.25 is: 114,354,220.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,129,609.88 : 51,429,257.25 = 51,429,257.25 : x
  2. Step 2: Convert to fraction form
    23,129,609.88/51,429,257.25 = 51,429,257.25/x
  3. Step 3: Cross multiply
    23,129,609.88x = 51,429,257.25 × 51,429,257.25
  4. Step 4: Simplify right side
    23,129,609.88x = 2,644,968,501,286,677.50
  5. Step 5: Solve for x
    x = 2,644,968,501,286,677.50/23,129,609.88
  6. Step 6: Final answer
    x = 114,354,220.22

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.