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Finding the Third Proportional to 23,635,009.50 and 51,411,102

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Solution

The third proportional to 23,635,009.50 and 51,411,102 is: 111,829,927.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,635,009.50 : 51,411,102 = 51,411,102 : x
  2. Step 2: Convert to fraction form
    23,635,009.50/51,411,102 = 51,411,102/x
  3. Step 3: Cross multiply
    23,635,009.50x = 51,411,102 × 51,411,102
  4. Step 4: Simplify right side
    23,635,009.50x = 2,643,101,408,854,404
  5. Step 5: Solve for x
    x = 2,643,101,408,854,404/23,635,009.50
  6. Step 6: Final answer
    x = 111,829,927.92

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.