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Finding the Third Proportional to 1,734,773,630 and 2,642,815,678

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Solution

The third proportional to 1,734,773,630 and 2,642,815,678 is: 4,026,159,140.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,734,773,630 : 2,642,815,678 = 2,642,815,678 : x
  2. Step 2: Convert to fraction form
    1,734,773,630/2,642,815,678 = 2,642,815,678/x
  3. Step 3: Cross multiply
    1,734,773,630x = 2,642,815,678 × 2,642,815,678
  4. Step 4: Simplify right side
    1,734,773,630x = 6,984,474,707,882,599,424
  5. Step 5: Solve for x
    x = 6,984,474,707,882,599,424/1,734,773,630
  6. Step 6: Final answer
    x = 4,026,159,140.94

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.