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Finding the Third Proportional to 214,629,738 and 465,554,820

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Solution

The third proportional to 214,629,738 and 465,554,820 is: 1,009,838,116.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,629,738 : 465,554,820 = 465,554,820 : x
  2. Step 2: Convert to fraction form
    214,629,738/465,554,820 = 465,554,820/x
  3. Step 3: Cross multiply
    214,629,738x = 465,554,820 × 465,554,820
  4. Step 4: Simplify right side
    214,629,738x = 216,741,290,425,232,384
  5. Step 5: Solve for x
    x = 216,741,290,425,232,384/214,629,738
  6. Step 6: Final answer
    x = 1,009,838,116.77

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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.