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Finding the Third Proportional to 574,292,066 and 1,252,524,951

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Solution

The third proportional to 574,292,066 and 1,252,524,951 is: 2,731,743,734.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    574,292,066 : 1,252,524,951 = 1,252,524,951 : x
  2. Step 2: Convert to fraction form
    574,292,066/1,252,524,951 = 1,252,524,951/x
  3. Step 3: Cross multiply
    574,292,066x = 1,252,524,951 × 1,252,524,951
  4. Step 4: Simplify right side
    574,292,066x = 1,568,818,752,877,552,384
  5. Step 5: Solve for x
    x = 1,568,818,752,877,552,384/574,292,066
  6. Step 6: Final answer
    x = 2,731,743,734.17

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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.