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Finding the Third Proportional to 579,237,443,754 and 1,247,000,400,084

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Solution

The third proportional to 579,237,443,754 and 1,247,000,400,084 is: 2,684,581,279,365.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    579,237,443,754 : 1,247,000,400,084 = 1,247,000,400,084 : x
  2. Step 2: Convert to fraction form
    579,237,443,754/1,247,000,400,084 = 1,247,000,400,084/x
  3. Step 3: Cross multiply
    579,237,443,754x = 1,247,000,400,084 × 1,247,000,400,084
  4. Step 4: Simplify right side
    579,237,443,754x = 1,555,009,997,809,656,071,716,864
  5. Step 5: Solve for x
    x = 1,555,009,997,809,656,071,716,864/579,237,443,754
  6. Step 6: Final answer
    x = 2,684,581,279,365.74

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.