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Finding the Third Proportional to 463,709,562.75 and 1,000,058,412.38

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Solution

The third proportional to 463,709,562.75 and 1,000,058,412.38 is: 2,156,774,214.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,709,562.75 : 1,000,058,412.38 = 1,000,058,412.38 : x
  2. Step 2: Convert to fraction form
    463,709,562.75/1,000,058,412.38 = 1,000,058,412.38/x
  3. Step 3: Cross multiply
    463,709,562.75x = 1,000,058,412.38 × 1,000,058,412.38
  4. Step 4: Simplify right side
    463,709,562.75x = 1,000,116,828,162,005,504
  5. Step 5: Solve for x
    x = 1,000,116,828,162,005,504/463,709,562.75
  6. Step 6: Final answer
    x = 2,156,774,214.94

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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.