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Finding the Third Proportional to 7,726,244,348 and 16,736,045,044

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Solution

The third proportional to 7,726,244,348 and 16,736,045,044 is: 36,252,439,231.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,726,244,348 : 16,736,045,044 = 16,736,045,044 : x
  2. Step 2: Convert to fraction form
    7,726,244,348/16,736,045,044 = 16,736,045,044/x
  3. Step 3: Cross multiply
    7,726,244,348x = 16,736,045,044 × 16,736,045,044
  4. Step 4: Simplify right side
    7,726,244,348x = 280,095,203,714,796,978,176
  5. Step 5: Solve for x
    x = 280,095,203,714,796,978,176/7,726,244,348
  6. Step 6: Final answer
    x = 36,252,439,231.66

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.