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Finding the Third Proportional to 63,182,440 and 97,072,836

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Solution

The third proportional to 63,182,440 and 97,072,836 is: 149,141,683.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,182,440 : 97,072,836 = 97,072,836 : x
  2. Step 2: Convert to fraction form
    63,182,440/97,072,836 = 97,072,836/x
  3. Step 3: Cross multiply
    63,182,440x = 97,072,836 × 97,072,836
  4. Step 4: Simplify right side
    63,182,440x = 9,423,135,489,082,896
  5. Step 5: Solve for x
    x = 9,423,135,489,082,896/63,182,440
  6. Step 6: Final answer
    x = 149,141,683.81

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.