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Finding the Third Proportional to 942,676,828 and 2,048,523,265

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Solution

The third proportional to 942,676,828 and 2,048,523,265 is: 4,451,629,065.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    942,676,828 : 2,048,523,265 = 2,048,523,265 : x
  2. Step 2: Convert to fraction form
    942,676,828/2,048,523,265 = 2,048,523,265/x
  3. Step 3: Cross multiply
    942,676,828x = 2,048,523,265 × 2,048,523,265
  4. Step 4: Simplify right side
    942,676,828x = 4,196,447,567,246,260,224
  5. Step 5: Solve for x
    x = 4,196,447,567,246,260,224/942,676,828
  6. Step 6: Final answer
    x = 4,451,629,065.87

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.