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Finding the Third Proportional to 843,978,202,624.65 and 1,138,724,756,814.40

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Solution

The third proportional to 843,978,202,624.65 and 1,138,724,756,814.40 is: 1,536,407,063,297.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    843,978,202,624.65 : 1,138,724,756,814.40 = 1,138,724,756,814.40 : x
  2. Step 2: Convert to fraction form
    843,978,202,624.65/1,138,724,756,814.40 = 1,138,724,756,814.40/x
  3. Step 3: Cross multiply
    843,978,202,624.65x = 1,138,724,756,814.40 × 1,138,724,756,814.40
  4. Step 4: Simplify right side
    843,978,202,624.65x = 1,296,694,071,782,014,120,361,984
  5. Step 5: Solve for x
    x = 1,296,694,071,782,014,120,361,984/843,978,202,624.65
  6. Step 6: Final answer
    x = 1,536,407,063,297.94

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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.