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Finding the Third Proportional to 5,678,095.50 and 12,314,502

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Solution

The third proportional to 5,678,095.50 and 12,314,502 is: 26,707,363.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,678,095.50 : 12,314,502 = 12,314,502 : x
  2. Step 2: Convert to fraction form
    5,678,095.50/12,314,502 = 12,314,502/x
  3. Step 3: Cross multiply
    5,678,095.50x = 12,314,502 × 12,314,502
  4. Step 4: Simplify right side
    5,678,095.50x = 151,646,959,508,004
  5. Step 5: Solve for x
    x = 151,646,959,508,004/5,678,095.50
  6. Step 6: Final answer
    x = 26,707,363.32

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.