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Finding the Third Proportional to 922,252,145.63 and 2,008,254,503.25

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Solution

The third proportional to 922,252,145.63 and 2,008,254,503.25 is: 4,373,084,051.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    922,252,145.63 : 2,008,254,503.25 = 2,008,254,503.25 : x
  2. Step 2: Convert to fraction form
    922,252,145.63/2,008,254,503.25 = 2,008,254,503.25/x
  3. Step 3: Cross multiply
    922,252,145.63x = 2,008,254,503.25 × 2,008,254,503.25
  4. Step 4: Simplify right side
    922,252,145.63x = 4,033,086,149,823,904,256
  5. Step 5: Solve for x
    x = 4,033,086,149,823,904,256/922,252,145.63
  6. Step 6: Final answer
    x = 4,373,084,051.86

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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.