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Finding the Third Proportional to 11,542,131,820 and 25,209,318,724

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Solution

The third proportional to 11,542,131,820 and 25,209,318,724 is: 55,059,997,619.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,542,131,820 : 25,209,318,724 = 25,209,318,724 : x
  2. Step 2: Convert to fraction form
    11,542,131,820/25,209,318,724 = 25,209,318,724/x
  3. Step 3: Cross multiply
    11,542,131,820x = 25,209,318,724 × 25,209,318,724
  4. Step 4: Simplify right side
    11,542,131,820x = 635,509,750,528,216,924,160
  5. Step 5: Solve for x
    x = 635,509,750,528,216,924,160/11,542,131,820
  6. Step 6: Final answer
    x = 55,059,997,619.07

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.