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Finding the Third Proportional to 51,078,607,596 and 119,342,674,926

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Solution

The third proportional to 51,078,607,596 and 119,342,674,926 is: 278,838,338,177.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,078,607,596 : 119,342,674,926 = 119,342,674,926 : x
  2. Step 2: Convert to fraction form
    51,078,607,596/119,342,674,926 = 119,342,674,926/x
  3. Step 3: Cross multiply
    51,078,607,596x = 119,342,674,926 × 119,342,674,926
  4. Step 4: Simplify right side
    51,078,607,596x = 14,242,674,058,492,909,715,456
  5. Step 5: Solve for x
    x = 14,242,674,058,492,909,715,456/51,078,607,596
  6. Step 6: Final answer
    x = 278,838,338,177.57

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.