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Finding the Third Proportional to 36,690,984 and 78,634,160

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Solution

The third proportional to 36,690,984 and 78,634,160 is: 168,524,537.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,690,984 : 78,634,160 = 78,634,160 : x
  2. Step 2: Convert to fraction form
    36,690,984/78,634,160 = 78,634,160/x
  3. Step 3: Cross multiply
    36,690,984x = 78,634,160 × 78,634,160
  4. Step 4: Simplify right side
    36,690,984x = 6,183,331,118,905,600
  5. Step 5: Solve for x
    x = 6,183,331,118,905,600/36,690,984
  6. Step 6: Final answer
    x = 168,524,537.77

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.