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Finding the Third Proportional to 7,881,122,515.50 and 17,134,036,407

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Solution

The third proportional to 7,881,122,515.50 and 17,134,036,407 is: 37,250,430,128.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,881,122,515.50 : 17,134,036,407 = 17,134,036,407 : x
  2. Step 2: Convert to fraction form
    7,881,122,515.50/17,134,036,407 = 17,134,036,407/x
  3. Step 3: Cross multiply
    7,881,122,515.50x = 17,134,036,407 × 17,134,036,407
  4. Step 4: Simplify right side
    7,881,122,515.50x = 293,575,203,596,401,475,584
  5. Step 5: Solve for x
    x = 293,575,203,596,401,475,584/7,881,122,515.50
  6. Step 6: Final answer
    x = 37,250,430,128.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.