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Finding the Third Proportional to 2,250,609,214,225.90 and 3,036,600,220,355.50

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Solution

The third proportional to 2,250,609,214,225.90 and 3,036,600,220,355.50 is: 4,097,086,619,915.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,250,609,214,225.90 : 3,036,600,220,355.50 = 3,036,600,220,355.50 : x
  2. Step 2: Convert to fraction form
    2,250,609,214,225.90/3,036,600,220,355.50 = 3,036,600,220,355.50/x
  3. Step 3: Cross multiply
    2,250,609,214,225.90x = 3,036,600,220,355.50 × 3,036,600,220,355.50
  4. Step 4: Simplify right side
    2,250,609,214,225.90x = 9,220,940,898,263,071,612,469,248
  5. Step 5: Solve for x
    x = 9,220,940,898,263,071,612,469,248/2,250,609,214,225.90
  6. Step 6: Final answer
    x = 4,097,086,619,915.32

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.