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Finding the Third Proportional to 7,970,414 and 16,507,964

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Solution

The third proportional to 7,970,414 and 16,507,964 is: 34,190,554.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,970,414 : 16,507,964 = 16,507,964 : x
  2. Step 2: Convert to fraction form
    7,970,414/16,507,964 = 16,507,964/x
  3. Step 3: Cross multiply
    7,970,414x = 16,507,964 × 16,507,964
  4. Step 4: Simplify right side
    7,970,414x = 272,512,875,425,296
  5. Step 5: Solve for x
    x = 272,512,875,425,296/7,970,414
  6. Step 6: Final answer
    x = 34,190,554.65

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.