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Finding the Third Proportional to 1,328,233,700 and 2,906,677,514

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Solution

The third proportional to 1,328,233,700 and 2,906,677,514 is: 6,360,909,356.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,328,233,700 : 2,906,677,514 = 2,906,677,514 : x
  2. Step 2: Convert to fraction form
    1,328,233,700/2,906,677,514 = 2,906,677,514/x
  3. Step 3: Cross multiply
    1,328,233,700x = 2,906,677,514 × 2,906,677,514
  4. Step 4: Simplify right side
    1,328,233,700x = 8,448,774,170,393,220,096
  5. Step 5: Solve for x
    x = 8,448,774,170,393,220,096/1,328,233,700
  6. Step 6: Final answer
    x = 6,360,909,356.83

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.