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Finding the Third Proportional to 175,325,675,384 and 271,039,860,960

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Solution

The third proportional to 175,325,675,384 and 271,039,860,960 is: 419,006,549,202.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,325,675,384 : 271,039,860,960 = 271,039,860,960 : x
  2. Step 2: Convert to fraction form
    175,325,675,384/271,039,860,960 = 271,039,860,960/x
  3. Step 3: Cross multiply
    175,325,675,384x = 271,039,860,960 × 271,039,860,960
  4. Step 4: Simplify right side
    175,325,675,384x = 73,462,606,229,216,130,236,416
  5. Step 5: Solve for x
    x = 73,462,606,229,216,130,236,416/175,325,675,384
  6. Step 6: Final answer
    x = 419,006,549,202.32

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.