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Finding the Third Proportional to 1,011,337,067,454 and 1,461,207,416,679

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Solution

The third proportional to 1,011,337,067,454 and 1,461,207,416,679 is: 2,111,192,384,090.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,011,337,067,454 : 1,461,207,416,679 = 1,461,207,416,679 : x
  2. Step 2: Convert to fraction form
    1,011,337,067,454/1,461,207,416,679 = 1,461,207,416,679/x
  3. Step 3: Cross multiply
    1,011,337,067,454x = 1,461,207,416,679 × 1,461,207,416,679
  4. Step 4: Simplify right side
    1,011,337,067,454x = 2,135,127,114,557,716,747,517,952
  5. Step 5: Solve for x
    x = 2,135,127,114,557,716,747,517,952/1,011,337,067,454
  6. Step 6: Final answer
    x = 2,111,192,384,090.91

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