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Finding the Third Proportional to 2,755,434,202 and 4,254,984,148

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Solution

The third proportional to 2,755,434,202 and 4,254,984,148 is: 6,570,612,387.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,755,434,202 : 4,254,984,148 = 4,254,984,148 : x
  2. Step 2: Convert to fraction form
    2,755,434,202/4,254,984,148 = 4,254,984,148/x
  3. Step 3: Cross multiply
    2,755,434,202x = 4,254,984,148 × 4,254,984,148
  4. Step 4: Simplify right side
    2,755,434,202x = 18,104,890,099,731,286,016
  5. Step 5: Solve for x
    x = 18,104,890,099,731,286,016/2,755,434,202
  6. Step 6: Final answer
    x = 6,570,612,387.18

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.