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Finding the Third Proportional to 13,105,194 and 20,513,386.50

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Solution

The third proportional to 13,105,194 and 20,513,386.50 is: 32,109,332.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,105,194 : 20,513,386.50 = 20,513,386.50 : x
  2. Step 2: Convert to fraction form
    13,105,194/20,513,386.50 = 20,513,386.50/x
  3. Step 3: Cross multiply
    13,105,194x = 20,513,386.50 × 20,513,386.50
  4. Step 4: Simplify right side
    13,105,194x = 420,799,025,698,382.25
  5. Step 5: Solve for x
    x = 420,799,025,698,382.25/13,105,194
  6. Step 6: Final answer
    x = 32,109,332.05

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.