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Finding the Third Proportional to 1,140,897,285 and 2,500,512,066

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Solution

The third proportional to 1,140,897,285 and 2,500,512,066 is: 5,480,388,703.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,140,897,285 : 2,500,512,066 = 2,500,512,066 : x
  2. Step 2: Convert to fraction form
    1,140,897,285/2,500,512,066 = 2,500,512,066/x
  3. Step 3: Cross multiply
    1,140,897,285x = 2,500,512,066 × 2,500,512,066
  4. Step 4: Simplify right side
    1,140,897,285x = 6,252,560,592,211,588,096
  5. Step 5: Solve for x
    x = 6,252,560,592,211,588,096/1,140,897,285
  6. Step 6: Final answer
    x = 5,480,388,703.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.