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Finding the Third Proportional to 479,663,268,823 and 1,066,572,398,364

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Solution

The third proportional to 479,663,268,823 and 1,066,572,398,364 is: 2,371,615,161,909.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    479,663,268,823 : 1,066,572,398,364 = 1,066,572,398,364 : x
  2. Step 2: Convert to fraction form
    479,663,268,823/1,066,572,398,364 = 1,066,572,398,364/x
  3. Step 3: Cross multiply
    479,663,268,823x = 1,066,572,398,364 × 1,066,572,398,364
  4. Step 4: Simplify right side
    479,663,268,823x = 1,137,576,680,951,935,127,257,088
  5. Step 5: Solve for x
    x = 1,137,576,680,951,935,127,257,088/479,663,268,823
  6. Step 6: Final answer
    x = 2,371,615,161,909.99

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