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Finding the Third Proportional to 2,458,261,312 and 5,406,851,680

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Solution

The third proportional to 2,458,261,312 and 5,406,851,680 is: 11,892,163,354.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,458,261,312 : 5,406,851,680 = 5,406,851,680 : x
  2. Step 2: Convert to fraction form
    2,458,261,312/5,406,851,680 = 5,406,851,680/x
  3. Step 3: Cross multiply
    2,458,261,312x = 5,406,851,680 × 5,406,851,680
  4. Step 4: Simplify right side
    2,458,261,312x = 29,234,045,089,518,821,376
  5. Step 5: Solve for x
    x = 29,234,045,089,518,821,376/2,458,261,312
  6. Step 6: Final answer
    x = 11,892,163,354.16

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Why These Related Problems?

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