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Finding the Third Proportional to 5,218,948 and 7,349,464

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Solution

The third proportional to 5,218,948 and 7,349,464 is: 10,349,714.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,218,948 : 7,349,464 = 7,349,464 : x
  2. Step 2: Convert to fraction form
    5,218,948/7,349,464 = 7,349,464/x
  3. Step 3: Cross multiply
    5,218,948x = 7,349,464 × 7,349,464
  4. Step 4: Simplify right side
    5,218,948x = 54,014,621,087,296
  5. Step 5: Solve for x
    x = 54,014,621,087,296/5,218,948
  6. Step 6: Final answer
    x = 10,349,714.37

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.