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Finding the Third Proportional to 1,011,337,067,456 and 1,461,207,416,682

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Solution

The third proportional to 1,011,337,067,456 and 1,461,207,416,682 is: 2,111,192,384,095.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,011,337,067,456 : 1,461,207,416,682 = 1,461,207,416,682 : x
  2. Step 2: Convert to fraction form
    1,011,337,067,456/1,461,207,416,682 = 1,461,207,416,682/x
  3. Step 3: Cross multiply
    1,011,337,067,456x = 1,461,207,416,682 × 1,461,207,416,682
  4. Step 4: Simplify right side
    1,011,337,067,456x = 2,135,127,114,566,483,849,510,912
  5. Step 5: Solve for x
    x = 2,135,127,114,566,483,849,510,912/1,011,337,067,456
  6. Step 6: Final answer
    x = 2,111,192,384,095.40

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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.