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Finding the Third Proportional to 16,270,899.75 and 23,824,117.13

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Solution

The third proportional to 16,270,899.75 and 23,824,117.13 is: 34,883,661.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,270,899.75 : 23,824,117.13 = 23,824,117.13 : x
  2. Step 2: Convert to fraction form
    16,270,899.75/23,824,117.13 = 23,824,117.13/x
  3. Step 3: Cross multiply
    16,270,899.75x = 23,824,117.13 × 23,824,117.13
  4. Step 4: Simplify right side
    16,270,899.75x = 567,588,556,785,718.25
  5. Step 5: Solve for x
    x = 567,588,556,785,718.25/16,270,899.75
  6. Step 6: Final answer
    x = 34,883,661.35

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.