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Finding the Third Proportional to 64,266,380 and 97,905,414

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Solution

The third proportional to 64,266,380 and 97,905,414 is: 149,152,170.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,266,380 : 97,905,414 = 97,905,414 : x
  2. Step 2: Convert to fraction form
    64,266,380/97,905,414 = 97,905,414/x
  3. Step 3: Cross multiply
    64,266,380x = 97,905,414 × 97,905,414
  4. Step 4: Simplify right side
    64,266,380x = 9,585,470,090,511,396
  5. Step 5: Solve for x
    x = 9,585,470,090,511,396/64,266,380
  6. Step 6: Final answer
    x = 149,152,170.86

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.