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Finding the Third Proportional to 6,546,245,840 and 14,359,878,588

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Solution

The third proportional to 6,546,245,840 and 14,359,878,588 is: 31,499,903,624.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,546,245,840 : 14,359,878,588 = 14,359,878,588 : x
  2. Step 2: Convert to fraction form
    6,546,245,840/14,359,878,588 = 14,359,878,588/x
  3. Step 3: Cross multiply
    6,546,245,840x = 14,359,878,588 × 14,359,878,588
  4. Step 4: Simplify right side
    6,546,245,840x = 206,206,113,062,100,860,928
  5. Step 5: Solve for x
    x = 206,206,113,062,100,860,928/6,546,245,840
  6. Step 6: Final answer
    x = 31,499,903,624.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.