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Finding the Third Proportional to 13,884,025 and 29,901,639

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Solution

The third proportional to 13,884,025 and 29,901,639 is: 64,398,329.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,884,025 : 29,901,639 = 29,901,639 : x
  2. Step 2: Convert to fraction form
    13,884,025/29,901,639 = 29,901,639/x
  3. Step 3: Cross multiply
    13,884,025x = 29,901,639 × 29,901,639
  4. Step 4: Simplify right side
    13,884,025x = 894,108,014,886,321
  5. Step 5: Solve for x
    x = 894,108,014,886,321/13,884,025
  6. Step 6: Final answer
    x = 64,398,329.37

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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.