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Finding the Third Proportional to 5,925,018 and 12,689,851.50

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Solution

The third proportional to 5,925,018 and 12,689,851.50 is: 27,178,369.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,925,018 : 12,689,851.50 = 12,689,851.50 : x
  2. Step 2: Convert to fraction form
    5,925,018/12,689,851.50 = 12,689,851.50/x
  3. Step 3: Cross multiply
    5,925,018x = 12,689,851.50 × 12,689,851.50
  4. Step 4: Simplify right side
    5,925,018x = 161,032,331,092,052.25
  5. Step 5: Solve for x
    x = 161,032,331,092,052.25/5,925,018
  6. Step 6: Final answer
    x = 27,178,369.94

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