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Finding the Third Proportional to 12,085,679,520 and 26,008,019,682.75

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Solution

The third proportional to 12,085,679,520 and 26,008,019,682.75 is: 55,968,477,957.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,085,679,520 : 26,008,019,682.75 = 26,008,019,682.75 : x
  2. Step 2: Convert to fraction form
    12,085,679,520/26,008,019,682.75 = 26,008,019,682.75/x
  3. Step 3: Cross multiply
    12,085,679,520x = 26,008,019,682.75 × 26,008,019,682.75
  4. Step 4: Simplify right side
    12,085,679,520x = 676,417,087,818,311,401,472
  5. Step 5: Solve for x
    x = 676,417,087,818,311,401,472/12,085,679,520
  6. Step 6: Final answer
    x = 55,968,477,957.65

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.