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Finding the Third Proportional to 8,538,588 and 13,206,955.50

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Solution

The third proportional to 8,538,588 and 13,206,955.50 is: 20,427,695.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,538,588 : 13,206,955.50 = 13,206,955.50 : x
  2. Step 2: Convert to fraction form
    8,538,588/13,206,955.50 = 13,206,955.50/x
  3. Step 3: Cross multiply
    8,538,588x = 13,206,955.50 × 13,206,955.50
  4. Step 4: Simplify right side
    8,538,588x = 174,423,673,578,980.25
  5. Step 5: Solve for x
    x = 174,423,673,578,980.25/8,538,588
  6. Step 6: Final answer
    x = 20,427,695.26

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.