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Finding the Third Proportional to 3,695,884,224 and 8,218,108,416

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Solution

The third proportional to 3,695,884,224 and 8,218,108,416 is: 18,273,653,026.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,695,884,224 : 8,218,108,416 = 8,218,108,416 : x
  2. Step 2: Convert to fraction form
    3,695,884,224/8,218,108,416 = 8,218,108,416/x
  3. Step 3: Cross multiply
    3,695,884,224x = 8,218,108,416 × 8,218,108,416
  4. Step 4: Simplify right side
    3,695,884,224x = 67,537,305,937,130,029,056
  5. Step 5: Solve for x
    x = 67,537,305,937,130,029,056/3,695,884,224
  6. Step 6: Final answer
    x = 18,273,653,026.94

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.