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Finding the Third Proportional to 12,081,171,773 and 24,506,823,184

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Solution

The third proportional to 12,081,171,773 and 24,506,823,184 is: 49,712,428,053.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,081,171,773 : 24,506,823,184 = 24,506,823,184 : x
  2. Step 2: Convert to fraction form
    12,081,171,773/24,506,823,184 = 24,506,823,184/x
  3. Step 3: Cross multiply
    12,081,171,773x = 24,506,823,184 × 24,506,823,184
  4. Step 4: Simplify right side
    12,081,171,773x = 600,584,382,571,839,881,216
  5. Step 5: Solve for x
    x = 600,584,382,571,839,881,216/12,081,171,773
  6. Step 6: Final answer
    x = 49,712,428,053.88

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.