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Finding the Third Proportional to 1,170,030,704,358 and 2,372,960,007,774

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Solution

The third proportional to 1,170,030,704,358 and 2,372,960,007,774 is: 4,812,642,247,354.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,170,030,704,358 : 2,372,960,007,774 = 2,372,960,007,774 : x
  2. Step 2: Convert to fraction form
    1,170,030,704,358/2,372,960,007,774 = 2,372,960,007,774/x
  3. Step 3: Cross multiply
    1,170,030,704,358x = 2,372,960,007,774 × 2,372,960,007,774
  4. Step 4: Simplify right side
    1,170,030,704,358x = 5,630,939,198,494,782,647,173,120
  5. Step 5: Solve for x
    x = 5,630,939,198,494,782,647,173,120/1,170,030,704,358
  6. Step 6: Final answer
    x = 4,812,642,247,354.10

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.