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Finding the Third Proportional to 27,701,072,152 and 56,172,959,192

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Solution

The third proportional to 27,701,072,152 and 56,172,959,192 is: 113,908,996,990.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,701,072,152 : 56,172,959,192 = 56,172,959,192 : x
  2. Step 2: Convert to fraction form
    27,701,072,152/56,172,959,192 = 56,172,959,192/x
  3. Step 3: Cross multiply
    27,701,072,152x = 56,172,959,192 × 56,172,959,192
  4. Step 4: Simplify right side
    27,701,072,152x = 3,155,401,344,386,097,217,536
  5. Step 5: Solve for x
    x = 3,155,401,344,386,097,217,536/27,701,072,152
  6. Step 6: Final answer
    x = 113,908,996,990.15

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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.