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Finding the Third Proportional to 11,604,560,459,548 and 24,839,285,894,382

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Solution

The third proportional to 11,604,560,459,548 and 24,839,285,894,382 is: 53,167,901,179,333.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,604,560,459,548 : 24,839,285,894,382 = 24,839,285,894,382 : x
  2. Step 2: Convert to fraction form
    11,604,560,459,548/24,839,285,894,382 = 24,839,285,894,382/x
  3. Step 3: Cross multiply
    11,604,560,459,548x = 24,839,285,894,382 × 24,839,285,894,382
  4. Step 4: Simplify right side
    11,604,560,459,548x = 616,990,123,742,844,625,264,574,464
  5. Step 5: Solve for x
    x = 616,990,123,742,844,625,264,574,464/11,604,560,459,548
  6. Step 6: Final answer
    x = 53,167,901,179,333.12

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.