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Finding the Third Proportional to 7,799,673.75 and 17,391,776.25

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Solution

The third proportional to 7,799,673.75 and 17,391,776.25 is: 38,780,324.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,799,673.75 : 17,391,776.25 = 17,391,776.25 : x
  2. Step 2: Convert to fraction form
    7,799,673.75/17,391,776.25 = 17,391,776.25/x
  3. Step 3: Cross multiply
    7,799,673.75x = 17,391,776.25 × 17,391,776.25
  4. Step 4: Simplify right side
    7,799,673.75x = 302,473,881,130,064.06
  5. Step 5: Solve for x
    x = 302,473,881,130,064.06/7,799,673.75
  6. Step 6: Final answer
    x = 38,780,324.77

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.