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Finding the Third Proportional to 1,171,884,390 and 2,504,935,554

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Solution

The third proportional to 1,171,884,390 and 2,504,935,554 is: 5,354,369,580.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,171,884,390 : 2,504,935,554 = 2,504,935,554 : x
  2. Step 2: Convert to fraction form
    1,171,884,390/2,504,935,554 = 2,504,935,554/x
  3. Step 3: Cross multiply
    1,171,884,390x = 2,504,935,554 × 2,504,935,554
  4. Step 4: Simplify right side
    1,171,884,390x = 6,274,702,129,693,287,424
  5. Step 5: Solve for x
    x = 6,274,702,129,693,287,424/1,171,884,390
  6. Step 6: Final answer
    x = 5,354,369,580.51

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.