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Finding the Third Proportional to 76,617,911,484 and 179,014,012,596

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Solution

The third proportional to 76,617,911,484 and 179,014,012,596 is: 418,257,507,742.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,617,911,484 : 179,014,012,596 = 179,014,012,596 : x
  2. Step 2: Convert to fraction form
    76,617,911,484/179,014,012,596 = 179,014,012,596/x
  3. Step 3: Cross multiply
    76,617,911,484x = 179,014,012,596 × 179,014,012,596
  4. Step 4: Simplify right side
    76,617,911,484x = 32,046,016,705,720,846,647,296
  5. Step 5: Solve for x
    x = 32,046,016,705,720,846,647,296/76,617,911,484
  6. Step 6: Final answer
    x = 418,257,507,742.34

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.