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Finding the Third Proportional to 7,881,122,518 and 17,134,036,411

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Solution

The third proportional to 7,881,122,518 and 17,134,036,411 is: 37,250,430,133.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,881,122,518 : 17,134,036,411 = 17,134,036,411 : x
  2. Step 2: Convert to fraction form
    7,881,122,518/17,134,036,411 = 17,134,036,411/x
  3. Step 3: Cross multiply
    7,881,122,518x = 17,134,036,411 × 17,134,036,411
  4. Step 4: Simplify right side
    7,881,122,518x = 293,575,203,733,473,755,136
  5. Step 5: Solve for x
    x = 293,575,203,733,473,755,136/7,881,122,518
  6. Step 6: Final answer
    x = 37,250,430,133.90

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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.