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Finding the Third Proportional to 5,178,924 and 7,840,362

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Solution

The third proportional to 5,178,924 and 7,840,362 is: 11,869,507.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,178,924 : 7,840,362 = 7,840,362 : x
  2. Step 2: Convert to fraction form
    5,178,924/7,840,362 = 7,840,362/x
  3. Step 3: Cross multiply
    5,178,924x = 7,840,362 × 7,840,362
  4. Step 4: Simplify right side
    5,178,924x = 61,471,276,291,044
  5. Step 5: Solve for x
    x = 61,471,276,291,044/5,178,924
  6. Step 6: Final answer
    x = 11,869,507.31

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.