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Finding the Third Proportional to 5,785,509.38 and 12,441,718.13

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Solution

The third proportional to 5,785,509.38 and 12,441,718.13 is: 26,755,872.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,785,509.38 : 12,441,718.13 = 12,441,718.13 : x
  2. Step 2: Convert to fraction form
    5,785,509.38/12,441,718.13 = 12,441,718.13/x
  3. Step 3: Cross multiply
    5,785,509.38x = 12,441,718.13 × 12,441,718.13
  4. Step 4: Simplify right side
    5,785,509.38x = 154,796,349,901,953.50
  5. Step 5: Solve for x
    x = 154,796,349,901,953.50/5,785,509.38
  6. Step 6: Final answer
    x = 26,755,872.28

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.