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Finding the Third Proportional to 7,840,082 and 16,881,312

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Solution

The third proportional to 7,840,082 and 16,881,312 is: 36,348,943.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,840,082 : 16,881,312 = 16,881,312 : x
  2. Step 2: Convert to fraction form
    7,840,082/16,881,312 = 16,881,312/x
  3. Step 3: Cross multiply
    7,840,082x = 16,881,312 × 16,881,312
  4. Step 4: Simplify right side
    7,840,082x = 284,978,694,841,344
  5. Step 5: Solve for x
    x = 284,978,694,841,344/7,840,082
  6. Step 6: Final answer
    x = 36,348,943.14

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.