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Finding the Third Proportional to 37,156,638 and 77,701,209

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Solution

The third proportional to 37,156,638 and 77,701,209 is: 162,487,194.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,156,638 : 77,701,209 = 77,701,209 : x
  2. Step 2: Convert to fraction form
    37,156,638/77,701,209 = 77,701,209/x
  3. Step 3: Cross multiply
    37,156,638x = 77,701,209 × 77,701,209
  4. Step 4: Simplify right side
    37,156,638x = 6,037,477,880,061,681
  5. Step 5: Solve for x
    x = 6,037,477,880,061,681/37,156,638
  6. Step 6: Final answer
    x = 162,487,194.89

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.