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Finding the Third Proportional to 35,984,799 and 78,358,878

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Solution

The third proportional to 35,984,799 and 78,358,878 is: 170,630,764.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,984,799 : 78,358,878 = 78,358,878 : x
  2. Step 2: Convert to fraction form
    35,984,799/78,358,878 = 78,358,878/x
  3. Step 3: Cross multiply
    35,984,799x = 78,358,878 × 78,358,878
  4. Step 4: Simplify right side
    35,984,799x = 6,140,113,761,418,884
  5. Step 5: Solve for x
    x = 6,140,113,761,418,884/35,984,799
  6. Step 6: Final answer
    x = 170,630,764.44

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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.