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Finding the Third Proportional to 5,232,807,864 and 8,043,200,853

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Solution

The third proportional to 5,232,807,864 and 8,043,200,853 is: 12,362,976,368.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,232,807,864 : 8,043,200,853 = 8,043,200,853 : x
  2. Step 2: Convert to fraction form
    5,232,807,864/8,043,200,853 = 8,043,200,853/x
  3. Step 3: Cross multiply
    5,232,807,864x = 8,043,200,853 × 8,043,200,853
  4. Step 4: Simplify right side
    5,232,807,864x = 64,693,079,961,699,926,016
  5. Step 5: Solve for x
    x = 64,693,079,961,699,926,016/5,232,807,864
  6. Step 6: Final answer
    x = 12,362,976,368.15

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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.