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Finding the Third Proportional to 1,226,478,380,472 and 2,683,773,279,020

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Solution

The third proportional to 1,226,478,380,472 and 2,683,773,279,020 is: 5,872,617,999,519.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226,478,380,472 : 2,683,773,279,020 = 2,683,773,279,020 : x
  2. Step 2: Convert to fraction form
    1,226,478,380,472/2,683,773,279,020 = 2,683,773,279,020/x
  3. Step 3: Cross multiply
    1,226,478,380,472x = 2,683,773,279,020 × 2,683,773,279,020
  4. Step 4: Simplify right side
    1,226,478,380,472x = 7,202,639,013,181,762,983,428,096
  5. Step 5: Solve for x
    x = 7,202,639,013,181,762,983,428,096/1,226,478,380,472
  6. Step 6: Final answer
    x = 5,872,617,999,519.80

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.