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Finding the Third Proportional to 2,190,473,337 and 5,165,698,597.50

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Solution

The third proportional to 2,190,473,337 and 5,165,698,597.50 is: 12,182,043,738.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,190,473,337 : 5,165,698,597.50 = 5,165,698,597.50 : x
  2. Step 2: Convert to fraction form
    2,190,473,337/5,165,698,597.50 = 5,165,698,597.50/x
  3. Step 3: Cross multiply
    2,190,473,337x = 5,165,698,597.50 × 5,165,698,597.50
  4. Step 4: Simplify right side
    2,190,473,337x = 26,684,442,000,213,467,136
  5. Step 5: Solve for x
    x = 26,684,442,000,213,467,136/2,190,473,337
  6. Step 6: Final answer
    x = 12,182,043,738.89

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.