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Finding the Third Proportional to 1,011,337,026,990 and 1,461,207,357,359

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Solution

The third proportional to 1,011,337,026,990 and 1,461,207,357,359 is: 2,111,192,297,146.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,011,337,026,990 : 1,461,207,357,359 = 1,461,207,357,359 : x
  2. Step 2: Convert to fraction form
    1,011,337,026,990/1,461,207,357,359 = 1,461,207,357,359/x
  3. Step 3: Cross multiply
    1,011,337,026,990x = 1,461,207,357,359 × 1,461,207,357,359
  4. Step 4: Simplify right side
    1,011,337,026,990x = 2,135,126,941,200,072,306,589,696
  5. Step 5: Solve for x
    x = 2,135,126,941,200,072,306,589,696/1,011,337,026,990
  6. Step 6: Final answer
    x = 2,111,192,297,146.25

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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.