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Finding the Third Proportional to 2,264,958,051 and 4,921,971,254

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Solution

The third proportional to 2,264,958,051 and 4,921,971,254 is: 10,695,915,985.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,264,958,051 : 4,921,971,254 = 4,921,971,254 : x
  2. Step 2: Convert to fraction form
    2,264,958,051/4,921,971,254 = 4,921,971,254/x
  3. Step 3: Cross multiply
    2,264,958,051x = 4,921,971,254 × 4,921,971,254
  4. Step 4: Simplify right side
    2,264,958,051x = 24,225,801,025,202,331,648
  5. Step 5: Solve for x
    x = 24,225,801,025,202,331,648/2,264,958,051
  6. Step 6: Final answer
    x = 10,695,915,985.95

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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.