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Finding the Third Proportional to 817,633,490,544 and 1,779,242,109,372

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Solution

The third proportional to 817,633,490,544 and 1,779,242,109,372 is: 3,871,786,711,740.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    817,633,490,544 : 1,779,242,109,372 = 1,779,242,109,372 : x
  2. Step 2: Convert to fraction form
    817,633,490,544/1,779,242,109,372 = 1,779,242,109,372/x
  3. Step 3: Cross multiply
    817,633,490,544x = 1,779,242,109,372 × 1,779,242,109,372
  4. Step 4: Simplify right side
    817,633,490,544x = 3,165,702,483,762,524,083,716,096
  5. Step 5: Solve for x
    x = 3,165,702,483,762,524,083,716,096/817,633,490,544
  6. Step 6: Final answer
    x = 3,871,786,711,740.82

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.