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Finding the Third Proportional to 962,632,086 and 2,109,807,060

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Solution

The third proportional to 962,632,086 and 2,109,807,060 is: 4,624,077,978.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    962,632,086 : 2,109,807,060 = 2,109,807,060 : x
  2. Step 2: Convert to fraction form
    962,632,086/2,109,807,060 = 2,109,807,060/x
  3. Step 3: Cross multiply
    962,632,086x = 2,109,807,060 × 2,109,807,060
  4. Step 4: Simplify right side
    962,632,086x = 4,451,285,830,425,843,712
  5. Step 5: Solve for x
    x = 4,451,285,830,425,843,712/962,632,086
  6. Step 6: Final answer
    x = 4,624,077,978.66

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.