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Finding the Third Proportional to 726,520,966,112 and 1,556,670,226,920

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Solution

The third proportional to 726,520,966,112 and 1,556,670,226,920 is: 3,335,378,204,358.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    726,520,966,112 : 1,556,670,226,920 = 1,556,670,226,920 : x
  2. Step 2: Convert to fraction form
    726,520,966,112/1,556,670,226,920 = 1,556,670,226,920/x
  3. Step 3: Cross multiply
    726,520,966,112x = 1,556,670,226,920 × 1,556,670,226,920
  4. Step 4: Simplify right side
    726,520,966,112x = 2,423,222,195,379,164,405,563,392
  5. Step 5: Solve for x
    x = 2,423,222,195,379,164,405,563,392/726,520,966,112
  6. Step 6: Final answer
    x = 3,335,378,204,358.11

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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.