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Finding the Third Proportional to 463,709,467.69 and 1,000,058,226.75

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Solution

The third proportional to 463,709,467.69 and 1,000,058,226.75 is: 2,156,773,856.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,709,467.69 : 1,000,058,226.75 = 1,000,058,226.75 : x
  2. Step 2: Convert to fraction form
    463,709,467.69/1,000,058,226.75 = 1,000,058,226.75/x
  3. Step 3: Cross multiply
    463,709,467.69x = 1,000,058,226.75 × 1,000,058,226.75
  4. Step 4: Simplify right side
    463,709,467.69x = 1,000,116,456,890,354,432
  5. Step 5: Solve for x
    x = 1,000,116,456,890,354,432/463,709,467.69
  6. Step 6: Final answer
    x = 2,156,773,856.44

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.