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Finding the Third Proportional to 5,692,282,068,724 and 8,671,797,987,264

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Solution

The third proportional to 5,692,282,068,724 and 8,671,797,987,264 is: 13,210,884,391,182.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,692,282,068,724 : 8,671,797,987,264 = 8,671,797,987,264 : x
  2. Step 2: Convert to fraction form
    5,692,282,068,724/8,671,797,987,264 = 8,671,797,987,264/x
  3. Step 3: Cross multiply
    5,692,282,068,724x = 8,671,797,987,264 × 8,671,797,987,264
  4. Step 4: Simplify right side
    5,692,282,068,724x = 75,200,080,331,915,964,255,830,016
  5. Step 5: Solve for x
    x = 75,200,080,331,915,964,255,830,016/5,692,282,068,724
  6. Step 6: Final answer
    x = 13,210,884,391,182.86

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.