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Finding the Third Proportional to 35,059,878 and 52,393,591.13

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Solution

The third proportional to 35,059,878 and 52,393,591.13 is: 78,297,146.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,059,878 : 52,393,591.13 = 52,393,591.13 : x
  2. Step 2: Convert to fraction form
    35,059,878/52,393,591.13 = 52,393,591.13/x
  3. Step 3: Cross multiply
    35,059,878x = 52,393,591.13 × 52,393,591.13
  4. Step 4: Simplify right side
    35,059,878x = 2,745,088,390,973,679
  5. Step 5: Solve for x
    x = 2,745,088,390,973,679/35,059,878
  6. Step 6: Final answer
    x = 78,297,146.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.