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Finding the Third Proportional to 479,663,268,491 and 1,066,572,397,662

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Solution

The third proportional to 479,663,268,491 and 1,066,572,397,662 is: 2,371,615,160,429.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    479,663,268,491 : 1,066,572,397,662 = 1,066,572,397,662 : x
  2. Step 2: Convert to fraction form
    479,663,268,491/1,066,572,397,662 = 1,066,572,397,662/x
  3. Step 3: Cross multiply
    479,663,268,491x = 1,066,572,397,662 × 1,066,572,397,662
  4. Step 4: Simplify right side
    479,663,268,491x = 1,137,576,679,454,467,399,090,176
  5. Step 5: Solve for x
    x = 1,137,576,679,454,467,399,090,176/479,663,268,491
  6. Step 6: Final answer
    x = 2,371,615,160,429.60

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.