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Finding the Third Proportional to 1,165,250,824.50 and 2,496,709,821

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Solution

The third proportional to 1,165,250,824.50 and 2,496,709,821 is: 5,349,543,462.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165,250,824.50 : 2,496,709,821 = 2,496,709,821 : x
  2. Step 2: Convert to fraction form
    1,165,250,824.50/2,496,709,821 = 2,496,709,821/x
  3. Step 3: Cross multiply
    1,165,250,824.50x = 2,496,709,821 × 2,496,709,821
  4. Step 4: Simplify right side
    1,165,250,824.50x = 6,233,559,930,277,852,160
  5. Step 5: Solve for x
    x = 6,233,559,930,277,852,160/1,165,250,824.50
  6. Step 6: Final answer
    x = 5,349,543,462.42

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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.