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Finding the Third Proportional to 976,854,277,832.75 and 1,477,845,101,243.10

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Solution

The third proportional to 976,854,277,832.75 and 1,477,845,101,243.10 is: 2,235,774,764,802.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    976,854,277,832.75 : 1,477,845,101,243.10 = 1,477,845,101,243.10 : x
  2. Step 2: Convert to fraction form
    976,854,277,832.75/1,477,845,101,243.10 = 1,477,845,101,243.10/x
  3. Step 3: Cross multiply
    976,854,277,832.75x = 1,477,845,101,243.10 × 1,477,845,101,243.10
  4. Step 4: Simplify right side
    976,854,277,832.75x = 2,184,026,143,268,228,760,076,288
  5. Step 5: Solve for x
    x = 2,184,026,143,268,228,760,076,288/976,854,277,832.75
  6. Step 6: Final answer
    x = 2,235,774,764,802.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.