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Finding the Third Proportional to 36,860,366,954,260 and 80,209,643,349,336

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Solution

The third proportional to 36,860,366,954,260 and 80,209,643,349,336 is: 174,539,415,036,511

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,860,366,954,260 : 80,209,643,349,336 = 80,209,643,349,336 : x
  2. Step 2: Convert to fraction form
    36,860,366,954,260/80,209,643,349,336 = 80,209,643,349,336/x
  3. Step 3: Cross multiply
    36,860,366,954,260x = 80,209,643,349,336 × 80,209,643,349,336
  4. Step 4: Simplify right side
    36,860,366,954,260x = 6,433,586,886,227,681,302,955,425,792
  5. Step 5: Solve for x
    x = 6,433,586,886,227,681,302,955,425,792/36,860,366,954,260
  6. Step 6: Final answer
    x = 174,539,415,036,511

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