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Finding the Third Proportional to 1,224,139,005 and 2,656,112,942

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Solution

The third proportional to 1,224,139,005 and 2,656,112,942 is: 5,763,182,066.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,224,139,005 : 2,656,112,942 = 2,656,112,942 : x
  2. Step 2: Convert to fraction form
    1,224,139,005/2,656,112,942 = 2,656,112,942/x
  3. Step 3: Cross multiply
    1,224,139,005x = 2,656,112,942 × 2,656,112,942
  4. Step 4: Simplify right side
    1,224,139,005x = 7,054,935,960,659,895,296
  5. Step 5: Solve for x
    x = 7,054,935,960,659,895,296/1,224,139,005
  6. Step 6: Final answer
    x = 5,763,182,066.61

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.