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Finding the Third Proportional to 597,357,498,100.50 and 1,313,864,956,869.80

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Solution

The third proportional to 597,357,498,100.50 and 1,313,864,956,869.80 is: 2,889,795,692,495.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,357,498,100.50 : 1,313,864,956,869.80 = 1,313,864,956,869.80 : x
  2. Step 2: Convert to fraction form
    597,357,498,100.50/1,313,864,956,869.80 = 1,313,864,956,869.80/x
  3. Step 3: Cross multiply
    597,357,498,100.50x = 1,313,864,956,869.80 × 1,313,864,956,869.80
  4. Step 4: Simplify right side
    597,357,498,100.50x = 1,726,241,124,890,481,474,404,352
  5. Step 5: Solve for x
    x = 1,726,241,124,890,481,474,404,352/597,357,498,100.50
  6. Step 6: Final answer
    x = 2,889,795,692,495.11

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.