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Finding the Third Proportional to 151,834,926,896 and 326,520,488,176

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Solution

The third proportional to 151,834,926,896 and 326,520,488,176 is: 702,181,187,018.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,834,926,896 : 326,520,488,176 = 326,520,488,176 : x
  2. Step 2: Convert to fraction form
    151,834,926,896/326,520,488,176 = 326,520,488,176/x
  3. Step 3: Cross multiply
    151,834,926,896x = 326,520,488,176 × 326,520,488,176
  4. Step 4: Simplify right side
    151,834,926,896x = 106,615,629,198,693,354,176,512
  5. Step 5: Solve for x
    x = 106,615,629,198,693,354,176,512/151,834,926,896
  6. Step 6: Final answer
    x = 702,181,187,018.45

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.