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Finding the Third Proportional to 1,011,337,067,448 and 1,461,207,416,670

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Solution

The third proportional to 1,011,337,067,448 and 1,461,207,416,670 is: 2,111,192,384,077.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,011,337,067,448 : 1,461,207,416,670 = 1,461,207,416,670 : x
  2. Step 2: Convert to fraction form
    1,011,337,067,448/1,461,207,416,670 = 1,461,207,416,670/x
  3. Step 3: Cross multiply
    1,011,337,067,448x = 1,461,207,416,670 × 1,461,207,416,670
  4. Step 4: Simplify right side
    1,011,337,067,448x = 2,135,127,114,531,414,904,668,160
  5. Step 5: Solve for x
    x = 2,135,127,114,531,414,904,668,160/1,011,337,067,448
  6. Step 6: Final answer
    x = 2,111,192,384,077.43

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.