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Finding the Third Proportional to 13,820,004 and 21,677,528.81

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Solution

The third proportional to 13,820,004 and 21,677,528.81 is: 34,002,541.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,820,004 : 21,677,528.81 = 21,677,528.81 : x
  2. Step 2: Convert to fraction form
    13,820,004/21,677,528.81 = 21,677,528.81/x
  3. Step 3: Cross multiply
    13,820,004x = 21,677,528.81 × 21,677,528.81
  4. Step 4: Simplify right side
    13,820,004x = 469,915,255,416,767.69
  5. Step 5: Solve for x
    x = 469,915,255,416,767.69/13,820,004
  6. Step 6: Final answer
    x = 34,002,541.20

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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.