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Finding the Third Proportional to 7,975,600,960 and 17,452,304,000

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Solution

The third proportional to 7,975,600,960 and 17,452,304,000 is: 38,189,337,259.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,975,600,960 : 17,452,304,000 = 17,452,304,000 : x
  2. Step 2: Convert to fraction form
    7,975,600,960/17,452,304,000 = 17,452,304,000/x
  3. Step 3: Cross multiply
    7,975,600,960x = 17,452,304,000 × 17,452,304,000
  4. Step 4: Simplify right side
    7,975,600,960x = 304,582,914,908,415,983,616
  5. Step 5: Solve for x
    x = 304,582,914,908,415,983,616/7,975,600,960
  6. Step 6: Final answer
    x = 38,189,337,259.47

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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.