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Finding the Third Proportional to 2,458,261,320 and 5,406,851,696

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Solution

The third proportional to 2,458,261,320 and 5,406,851,696 is: 11,892,163,385.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,458,261,320 : 5,406,851,696 = 5,406,851,696 : x
  2. Step 2: Convert to fraction form
    2,458,261,320/5,406,851,696 = 5,406,851,696/x
  3. Step 3: Cross multiply
    2,458,261,320x = 5,406,851,696 × 5,406,851,696
  4. Step 4: Simplify right side
    2,458,261,320x = 29,234,045,262,538,076,160
  5. Step 5: Solve for x
    x = 29,234,045,262,538,076,160/2,458,261,320
  6. Step 6: Final answer
    x = 11,892,163,385.84

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.