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Finding the Third Proportional to 151,834,926,745 and 326,520,487,888

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Solution

The third proportional to 151,834,926,745 and 326,520,487,888 is: 702,181,186,478.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,834,926,745 : 326,520,487,888 = 326,520,487,888 : x
  2. Step 2: Convert to fraction form
    151,834,926,745/326,520,487,888 = 326,520,487,888/x
  3. Step 3: Cross multiply
    151,834,926,745x = 326,520,487,888 × 326,520,487,888
  4. Step 4: Simplify right side
    151,834,926,745x = 106,615,629,010,617,558,368,256
  5. Step 5: Solve for x
    x = 106,615,629,010,617,558,368,256/151,834,926,745
  6. Step 6: Final answer
    x = 702,181,186,478.09

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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.