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Finding the Third Proportional to 13,707,969 and 30,106,513.50

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Solution

The third proportional to 13,707,969 and 30,106,513.50 is: 66,122,279.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,707,969 : 30,106,513.50 = 30,106,513.50 : x
  2. Step 2: Convert to fraction form
    13,707,969/30,106,513.50 = 30,106,513.50/x
  3. Step 3: Cross multiply
    13,707,969x = 30,106,513.50 × 30,106,513.50
  4. Step 4: Simplify right side
    13,707,969x = 906,402,155,125,682.25
  5. Step 5: Solve for x
    x = 906,402,155,125,682.25/13,707,969
  6. Step 6: Final answer
    x = 66,122,279.32

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.