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Finding the Third Proportional to 479,663,268,495 and 1,066,572,397,670

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Solution

The third proportional to 479,663,268,495 and 1,066,572,397,670 is: 2,371,615,160,445.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    479,663,268,495 : 1,066,572,397,670 = 1,066,572,397,670 : x
  2. Step 2: Convert to fraction form
    479,663,268,495/1,066,572,397,670 = 1,066,572,397,670/x
  3. Step 3: Cross multiply
    479,663,268,495x = 1,066,572,397,670 × 1,066,572,397,670
  4. Step 4: Simplify right side
    479,663,268,495x = 1,137,576,679,471,532,646,334,464
  5. Step 5: Solve for x
    x = 1,137,576,679,471,532,646,334,464/479,663,268,495
  6. Step 6: Final answer
    x = 2,371,615,160,445.40

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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.