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Finding the Third Proportional to 296,376,472,192 and 399,881,445,180

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Solution

The third proportional to 296,376,472,192 and 399,881,445,180 is: 539,533,954,961.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,376,472,192 : 399,881,445,180 = 399,881,445,180 : x
  2. Step 2: Convert to fraction form
    296,376,472,192/399,881,445,180 = 399,881,445,180/x
  3. Step 3: Cross multiply
    296,376,472,192x = 399,881,445,180 × 399,881,445,180
  4. Step 4: Simplify right side
    296,376,472,192x = 159,905,170,199,245,349,715,968
  5. Step 5: Solve for x
    x = 159,905,170,199,245,349,715,968/296,376,472,192
  6. Step 6: Final answer
    x = 539,533,954,961.36

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.