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Finding the Third Proportional to 8,769,297,926 and 20,693,973,641

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Solution

The third proportional to 8,769,297,926 and 20,693,973,641 is: 48,834,074,137.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,769,297,926 : 20,693,973,641 = 20,693,973,641 : x
  2. Step 2: Convert to fraction form
    8,769,297,926/20,693,973,641 = 20,693,973,641/x
  3. Step 3: Cross multiply
    8,769,297,926x = 20,693,973,641 × 20,693,973,641
  4. Step 4: Simplify right side
    8,769,297,926x = 428,240,545,054,402,805,760
  5. Step 5: Solve for x
    x = 428,240,545,054,402,805,760/8,769,297,926
  6. Step 6: Final answer
    x = 48,834,074,137.76

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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.