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Finding the Third Proportional to 750,202,846,775 and 1,012,199,783,833

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Solution

The third proportional to 750,202,846,775 and 1,012,199,783,833 is: 1,365,695,167,374.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    750,202,846,775 : 1,012,199,783,833 = 1,012,199,783,833 : x
  2. Step 2: Convert to fraction form
    750,202,846,775/1,012,199,783,833 = 1,012,199,783,833/x
  3. Step 3: Cross multiply
    750,202,846,775x = 1,012,199,783,833 × 1,012,199,783,833
  4. Step 4: Simplify right side
    750,202,846,775x = 1,024,548,402,391,571,870,253,056
  5. Step 5: Solve for x
    x = 1,024,548,402,391,571,870,253,056/750,202,846,775
  6. Step 6: Final answer
    x = 1,365,695,167,374.98

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.