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Finding the Third Proportional to 66,878,068 and 94,178,467

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Solution

The third proportional to 66,878,068 and 94,178,467 is: 132,623,203.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,878,068 : 94,178,467 = 94,178,467 : x
  2. Step 2: Convert to fraction form
    66,878,068/94,178,467 = 94,178,467/x
  3. Step 3: Cross multiply
    66,878,068x = 94,178,467 × 94,178,467
  4. Step 4: Simplify right side
    66,878,068x = 8,869,583,646,470,089
  5. Step 5: Solve for x
    x = 8,869,583,646,470,089/66,878,068
  6. Step 6: Final answer
    x = 132,623,203.87

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.