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Finding the Third Proportional to 35,984,850 and 78,358,980

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Solution

The third proportional to 35,984,850 and 78,358,980 is: 170,630,966.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,984,850 : 78,358,980 = 78,358,980 : x
  2. Step 2: Convert to fraction form
    35,984,850/78,358,980 = 78,358,980/x
  3. Step 3: Cross multiply
    35,984,850x = 78,358,980 × 78,358,980
  4. Step 4: Simplify right side
    35,984,850x = 6,140,129,746,640,400
  5. Step 5: Solve for x
    x = 6,140,129,746,640,400/35,984,850
  6. Step 6: Final answer
    x = 170,630,966.83

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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.