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Finding the Third Proportional to 1,244,124,254 and 2,672,880,556

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Solution

The third proportional to 1,244,124,254 and 2,672,880,556 is: 5,742,425,198.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,244,124,254 : 2,672,880,556 = 2,672,880,556 : x
  2. Step 2: Convert to fraction form
    1,244,124,254/2,672,880,556 = 2,672,880,556/x
  3. Step 3: Cross multiply
    1,244,124,254x = 2,672,880,556 × 2,672,880,556
  4. Step 4: Simplify right side
    1,244,124,254x = 7,144,290,466,642,869,248
  5. Step 5: Solve for x
    x = 7,144,290,466,642,869,248/1,244,124,254
  6. Step 6: Final answer
    x = 5,742,425,198.83

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.