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Finding the Third Proportional to 211,610,472,656 and 456,883,572,992

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Solution

The third proportional to 211,610,472,656 and 456,883,572,992 is: 986,447,393,883.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,610,472,656 : 456,883,572,992 = 456,883,572,992 : x
  2. Step 2: Convert to fraction form
    211,610,472,656/456,883,572,992 = 456,883,572,992/x
  3. Step 3: Cross multiply
    211,610,472,656x = 456,883,572,992 × 456,883,572,992
  4. Step 4: Simplify right side
    211,610,472,656x = 208,742,599,269,936,206,446,592
  5. Step 5: Solve for x
    x = 208,742,599,269,936,206,446,592/211,610,472,656
  6. Step 6: Final answer
    x = 986,447,393,883.36

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.