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Finding the Third Proportional to 5,692,282,068,804 and 8,671,797,987,490

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Solution

The third proportional to 5,692,282,068,804 and 8,671,797,987,490 is: 13,210,884,391,685.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,692,282,068,804 : 8,671,797,987,490 = 8,671,797,987,490 : x
  2. Step 2: Convert to fraction form
    5,692,282,068,804/8,671,797,987,490 = 8,671,797,987,490/x
  3. Step 3: Cross multiply
    5,692,282,068,804x = 8,671,797,987,490 × 8,671,797,987,490
  4. Step 4: Simplify right side
    5,692,282,068,804x = 75,200,080,335,835,611,539,701,760
  5. Step 5: Solve for x
    x = 75,200,080,335,835,611,539,701,760/5,692,282,068,804
  6. Step 6: Final answer
    x = 13,210,884,391,685.78

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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.