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Finding the Third Proportional to 7,872,612,613 and 17,349,914,444

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Solution

The third proportional to 7,872,612,613 and 17,349,914,444 is: 38,236,294,101.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,872,612,613 : 17,349,914,444 = 17,349,914,444 : x
  2. Step 2: Convert to fraction form
    7,872,612,613/17,349,914,444 = 17,349,914,444/x
  3. Step 3: Cross multiply
    7,872,612,613x = 17,349,914,444 × 17,349,914,444
  4. Step 4: Simplify right side
    7,872,612,613x = 301,019,531,214,119,829,504
  5. Step 5: Solve for x
    x = 301,019,531,214,119,829,504/7,872,612,613
  6. Step 6: Final answer
    x = 38,236,294,101.03

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.