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Finding the Third Proportional to 19,256,984,006 and 41,932,650,853

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Solution

The third proportional to 19,256,984,006 and 41,932,650,853 is: 91,309,584,460.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,256,984,006 : 41,932,650,853 = 41,932,650,853 : x
  2. Step 2: Convert to fraction form
    19,256,984,006/41,932,650,853 = 41,932,650,853/x
  3. Step 3: Cross multiply
    19,256,984,006x = 41,932,650,853 × 41,932,650,853
  4. Step 4: Simplify right side
    19,256,984,006x = 1,758,347,207,559,601,717,248
  5. Step 5: Solve for x
    x = 1,758,347,207,559,601,717,248/19,256,984,006
  6. Step 6: Final answer
    x = 91,309,584,460.98

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.