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Finding the Third Proportional to 23,634,999 and 51,411,082.50

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Solution

The third proportional to 23,634,999 and 51,411,082.50 is: 111,829,892.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,634,999 : 51,411,082.50 = 51,411,082.50 : x
  2. Step 2: Convert to fraction form
    23,634,999/51,411,082.50 = 51,411,082.50/x
  3. Step 3: Cross multiply
    23,634,999x = 51,411,082.50 × 51,411,082.50
  4. Step 4: Simplify right side
    23,634,999x = 2,643,099,403,821,806
  5. Step 5: Solve for x
    x = 2,643,099,403,821,806/23,634,999
  6. Step 6: Final answer
    x = 111,829,892.77

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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.