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Finding the Third Proportional to 19,283,004,323,472 and 41,633,515,594,282

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Solution

The third proportional to 19,283,004,323,472 and 41,633,515,594,282 is: 89,890,018,778,319.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,283,004,323,472 : 41,633,515,594,282 = 41,633,515,594,282 : x
  2. Step 2: Convert to fraction form
    19,283,004,323,472/41,633,515,594,282 = 41,633,515,594,282/x
  3. Step 3: Cross multiply
    19,283,004,323,472x = 41,633,515,594,282 × 41,633,515,594,282
  4. Step 4: Simplify right side
    19,283,004,323,472x = 1,733,349,620,739,322,352,523,804,672
  5. Step 5: Solve for x
    x = 1,733,349,620,739,322,352,523,804,672/19,283,004,323,472
  6. Step 6: Final answer
    x = 89,890,018,778,319.92

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.