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Finding the Third Proportional to 967,579,429 and 1,494,143,647.50

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Solution

The third proportional to 967,579,429 and 1,494,143,647.50 is: 2,307,268,191.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    967,579,429 : 1,494,143,647.50 = 1,494,143,647.50 : x
  2. Step 2: Convert to fraction form
    967,579,429/1,494,143,647.50 = 1,494,143,647.50/x
  3. Step 3: Cross multiply
    967,579,429x = 1,494,143,647.50 × 1,494,143,647.50
  4. Step 4: Simplify right side
    967,579,429x = 2,232,465,239,364,604,160
  5. Step 5: Solve for x
    x = 2,232,465,239,364,604,160/967,579,429
  6. Step 6: Final answer
    x = 2,307,268,191.59

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.