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Finding the Third Proportional to 4,661,029,314 and 9,986,890,374

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Solution

The third proportional to 4,661,029,314 and 9,986,890,374 is: 21,398,273,347.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,661,029,314 : 9,986,890,374 = 9,986,890,374 : x
  2. Step 2: Convert to fraction form
    4,661,029,314/9,986,890,374 = 9,986,890,374/x
  3. Step 3: Cross multiply
    4,661,029,314x = 9,986,890,374 × 9,986,890,374
  4. Step 4: Simplify right side
    4,661,029,314x = 99,737,979,342,293,860,352
  5. Step 5: Solve for x
    x = 99,737,979,342,293,860,352/4,661,029,314
  6. Step 6: Final answer
    x = 21,398,273,347.63

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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.