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Finding the Third Proportional to 23,635,012 and 51,411,106

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Solution

The third proportional to 23,635,012 and 51,411,106 is: 111,829,933.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,635,012 : 51,411,106 = 51,411,106 : x
  2. Step 2: Convert to fraction form
    23,635,012/51,411,106 = 51,411,106/x
  3. Step 3: Cross multiply
    23,635,012x = 51,411,106 × 51,411,106
  4. Step 4: Simplify right side
    23,635,012x = 2,643,101,820,143,236
  5. Step 5: Solve for x
    x = 2,643,101,820,143,236/23,635,012
  6. Step 6: Final answer
    x = 111,829,933.50

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