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Finding the Third Proportional to 463,709,445.75 and 1,000,058,181.75

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Solution

The third proportional to 463,709,445.75 and 1,000,058,181.75 is: 2,156,773,764.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,709,445.75 : 1,000,058,181.75 = 1,000,058,181.75 : x
  2. Step 2: Convert to fraction form
    463,709,445.75/1,000,058,181.75 = 1,000,058,181.75/x
  3. Step 3: Cross multiply
    463,709,445.75x = 1,000,058,181.75 × 1,000,058,181.75
  4. Step 4: Simplify right side
    463,709,445.75x = 1,000,116,366,885,116,032
  5. Step 5: Solve for x
    x = 1,000,116,366,885,116,032/463,709,445.75
  6. Step 6: Final answer
    x = 2,156,773,764.37

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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.