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Finding the Third Proportional to 803,829,900 and 1,741,231,443

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Solution

The third proportional to 803,829,900 and 1,741,231,443 is: 3,771,801,643.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    803,829,900 : 1,741,231,443 = 1,741,231,443 : x
  2. Step 2: Convert to fraction form
    803,829,900/1,741,231,443 = 1,741,231,443/x
  3. Step 3: Cross multiply
    803,829,900x = 1,741,231,443 × 1,741,231,443
  4. Step 4: Simplify right side
    803,829,900x = 3,031,886,938,091,862,016
  5. Step 5: Solve for x
    x = 3,031,886,938,091,862,016/803,829,900
  6. Step 6: Final answer
    x = 3,771,801,643.72

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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.