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Finding the Third Proportional to 803,829,884.50 and 1,741,231,417.50

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Solution

The third proportional to 803,829,884.50 and 1,741,231,417.50 is: 3,771,801,605.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    803,829,884.50 : 1,741,231,417.50 = 1,741,231,417.50 : x
  2. Step 2: Convert to fraction form
    803,829,884.50/1,741,231,417.50 = 1,741,231,417.50/x
  3. Step 3: Cross multiply
    803,829,884.50x = 1,741,231,417.50 × 1,741,231,417.50
  4. Step 4: Simplify right side
    803,829,884.50x = 3,031,886,849,289,059,328
  5. Step 5: Solve for x
    x = 3,031,886,849,289,059,328/803,829,884.50
  6. Step 6: Final answer
    x = 3,771,801,605.98

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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.