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Finding the Third Proportional to 35,984,826 and 78,358,932

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Solution

The third proportional to 35,984,826 and 78,358,932 is: 170,630,871.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,984,826 : 78,358,932 = 78,358,932 : x
  2. Step 2: Convert to fraction form
    35,984,826/78,358,932 = 78,358,932/x
  3. Step 3: Cross multiply
    35,984,826x = 78,358,932 × 78,358,932
  4. Step 4: Simplify right side
    35,984,826x = 6,140,122,224,180,624
  5. Step 5: Solve for x
    x = 6,140,122,224,180,624/35,984,826
  6. Step 6: Final answer
    x = 170,630,871.58

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.