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Finding the Third Proportional to 268,174,038 and 410,058,447

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Solution

The third proportional to 268,174,038 and 410,058,447 is: 627,010,471.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,174,038 : 410,058,447 = 410,058,447 : x
  2. Step 2: Convert to fraction form
    268,174,038/410,058,447 = 410,058,447/x
  3. Step 3: Cross multiply
    268,174,038x = 410,058,447 × 410,058,447
  4. Step 4: Simplify right side
    268,174,038x = 168,147,929,956,051,808
  5. Step 5: Solve for x
    x = 168,147,929,956,051,808/268,174,038
  6. Step 6: Final answer
    x = 627,010,471.30

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.