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Finding the Third Proportional to 37,156,656 and 77,701,248

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Solution

The third proportional to 37,156,656 and 77,701,248 is: 162,487,279.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,156,656 : 77,701,248 = 77,701,248 : x
  2. Step 2: Convert to fraction form
    37,156,656/77,701,248 = 77,701,248/x
  3. Step 3: Cross multiply
    37,156,656x = 77,701,248 × 77,701,248
  4. Step 4: Simplify right side
    37,156,656x = 6,037,483,940,757,504
  5. Step 5: Solve for x
    x = 6,037,483,940,757,504/37,156,656
  6. Step 6: Final answer
    x = 162,487,279.28

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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.