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Finding the Third Proportional to 5,232,807,854 and 8,043,200,836

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Solution

The third proportional to 5,232,807,854 and 8,043,200,836 is: 12,362,976,339.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,232,807,854 : 8,043,200,836 = 8,043,200,836 : x
  2. Step 2: Convert to fraction form
    5,232,807,854/8,043,200,836 = 8,043,200,836/x
  3. Step 3: Cross multiply
    5,232,807,854x = 8,043,200,836 × 8,043,200,836
  4. Step 4: Simplify right side
    5,232,807,854x = 64,693,079,688,231,100,416
  5. Step 5: Solve for x
    x = 64,693,079,688,231,100,416/5,232,807,854
  6. Step 6: Final answer
    x = 12,362,976,339.52

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.