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Finding the Third Proportional to 1,024,885,756,072 and 2,204,013,294,360

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Solution

The third proportional to 1,024,885,756,072 and 2,204,013,294,360 is: 4,739,723,011,014.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024,885,756,072 : 2,204,013,294,360 = 2,204,013,294,360 : x
  2. Step 2: Convert to fraction form
    1,024,885,756,072/2,204,013,294,360 = 2,204,013,294,360/x
  3. Step 3: Cross multiply
    1,024,885,756,072x = 2,204,013,294,360 × 2,204,013,294,360
  4. Step 4: Simplify right side
    1,024,885,756,072x = 4,857,674,601,715,619,583,754,240
  5. Step 5: Solve for x
    x = 4,857,674,601,715,619,583,754,240/1,024,885,756,072
  6. Step 6: Final answer
    x = 4,739,723,011,014.66

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.