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Finding the Third Proportional to 4,661,053,825.50 and 9,985,293,531

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Solution

The third proportional to 4,661,053,825.50 and 9,985,293,531 is: 21,391,318,494.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,661,053,825.50 : 9,985,293,531 = 9,985,293,531 : x
  2. Step 2: Convert to fraction form
    4,661,053,825.50/9,985,293,531 = 9,985,293,531/x
  3. Step 3: Cross multiply
    4,661,053,825.50x = 9,985,293,531 × 9,985,293,531
  4. Step 4: Simplify right side
    4,661,053,825.50x = 99,706,086,900,230,455,296
  5. Step 5: Solve for x
    x = 99,706,086,900,230,455,296/4,661,053,825.50
  6. Step 6: Final answer
    x = 21,391,318,494.28

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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.