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Finding the Third Proportional to 13,884,068 and 29,901,728

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Solution

The third proportional to 13,884,068 and 29,901,728 is: 64,398,513.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,884,068 : 29,901,728 = 29,901,728 : x
  2. Step 2: Convert to fraction form
    13,884,068/29,901,728 = 29,901,728/x
  3. Step 3: Cross multiply
    13,884,068x = 29,901,728 × 29,901,728
  4. Step 4: Simplify right side
    13,884,068x = 894,113,337,385,984
  5. Step 5: Solve for x
    x = 894,113,337,385,984/13,884,068
  6. Step 6: Final answer
    x = 64,398,513.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.