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Finding the Third Proportional to 11,069,025 and 17,362,461

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Solution

The third proportional to 11,069,025 and 17,362,461 is: 27,234,110.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,069,025 : 17,362,461 = 17,362,461 : x
  2. Step 2: Convert to fraction form
    11,069,025/17,362,461 = 17,362,461/x
  3. Step 3: Cross multiply
    11,069,025x = 17,362,461 × 17,362,461
  4. Step 4: Simplify right side
    11,069,025x = 301,455,051,976,521
  5. Step 5: Solve for x
    x = 301,455,051,976,521/11,069,025
  6. Step 6: Final answer
    x = 27,234,110.68

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.