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Finding the Third Proportional to 976,854,277,835.40 and 1,477,845,101,246.90

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Solution

The third proportional to 976,854,277,835.40 and 1,477,845,101,246.90 is: 2,235,774,764,808.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    976,854,277,835.40 : 1,477,845,101,246.90 = 1,477,845,101,246.90 : x
  2. Step 2: Convert to fraction form
    976,854,277,835.40/1,477,845,101,246.90 = 1,477,845,101,246.90/x
  3. Step 3: Cross multiply
    976,854,277,835.40x = 1,477,845,101,246.90 × 1,477,845,101,246.90
  4. Step 4: Simplify right side
    976,854,277,835.40x = 2,184,026,143,279,459,831,119,872
  5. Step 5: Solve for x
    x = 2,184,026,143,279,459,831,119,872/976,854,277,835.40
  6. Step 6: Final answer
    x = 2,235,774,764,808.34

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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.