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Finding the Third Proportional to 35,984,835 and 78,358,950

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Solution

The third proportional to 35,984,835 and 78,358,950 is: 170,630,907.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,984,835 : 78,358,950 = 78,358,950 : x
  2. Step 2: Convert to fraction form
    35,984,835/78,358,950 = 78,358,950/x
  3. Step 3: Cross multiply
    35,984,835x = 78,358,950 × 78,358,950
  4. Step 4: Simplify right side
    35,984,835x = 6,140,125,045,102,500
  5. Step 5: Solve for x
    x = 6,140,125,045,102,500/35,984,835
  6. Step 6: Final answer
    x = 170,630,907.30

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Why These Related Problems?

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