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Finding the Third Proportional to 5,876,727.19 and 12,348,318.38

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Solution

The third proportional to 5,876,727.19 and 12,348,318.38 is: 25,946,579.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,876,727.19 : 12,348,318.38 = 12,348,318.38 : x
  2. Step 2: Convert to fraction form
    5,876,727.19/12,348,318.38 = 12,348,318.38/x
  3. Step 3: Cross multiply
    5,876,727.19x = 12,348,318.38 × 12,348,318.38
  4. Step 4: Simplify right side
    5,876,727.19x = 152,480,966,690,362.62
  5. Step 5: Solve for x
    x = 152,480,966,690,362.62/5,876,727.19
  6. Step 6: Final answer
    x = 25,946,579.08

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.