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Finding the Third Proportional to 1,037,817,004 and 1,671,227,171

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Solution

The third proportional to 1,037,817,004 and 1,671,227,171 is: 2,691,226,147.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,037,817,004 : 1,671,227,171 = 1,671,227,171 : x
  2. Step 2: Convert to fraction form
    1,037,817,004/1,671,227,171 = 1,671,227,171/x
  3. Step 3: Cross multiply
    1,037,817,004x = 1,671,227,171 × 1,671,227,171
  4. Step 4: Simplify right side
    1,037,817,004x = 2,793,000,257,088,663,040
  5. Step 5: Solve for x
    x = 2,793,000,257,088,663,040/1,037,817,004
  6. Step 6: Final answer
    x = 2,691,226,147.12

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.