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Finding the Third Proportional to 12,159,082 and 18,974,752

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Solution

The third proportional to 12,159,082 and 18,974,752 is: 29,610,887.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,159,082 : 18,974,752 = 18,974,752 : x
  2. Step 2: Convert to fraction form
    12,159,082/18,974,752 = 18,974,752/x
  3. Step 3: Cross multiply
    12,159,082x = 18,974,752 × 18,974,752
  4. Step 4: Simplify right side
    12,159,082x = 360,041,213,461,504
  5. Step 5: Solve for x
    x = 360,041,213,461,504/12,159,082
  6. Step 6: Final answer
    x = 29,610,887.85

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.