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Finding the Third Proportional to 5,346,174 and 7,724,298

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Solution

The third proportional to 5,346,174 and 7,724,298 is: 11,160,276.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,346,174 : 7,724,298 = 7,724,298 : x
  2. Step 2: Convert to fraction form
    5,346,174/7,724,298 = 7,724,298/x
  3. Step 3: Cross multiply
    5,346,174x = 7,724,298 × 7,724,298
  4. Step 4: Simplify right side
    5,346,174x = 59,664,779,592,804
  5. Step 5: Solve for x
    x = 59,664,779,592,804/5,346,174
  6. Step 6: Final answer
    x = 11,160,276.41

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.