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Finding the Third Proportional to 37,657,152 and 81,286,272

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Solution

The third proportional to 37,657,152 and 81,286,272 is: 175,463,561.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,657,152 : 81,286,272 = 81,286,272 : x
  2. Step 2: Convert to fraction form
    37,657,152/81,286,272 = 81,286,272/x
  3. Step 3: Cross multiply
    37,657,152x = 81,286,272 × 81,286,272
  4. Step 4: Simplify right side
    37,657,152x = 6,607,458,015,657,984
  5. Step 5: Solve for x
    x = 6,607,458,015,657,984/37,657,152
  6. Step 6: Final answer
    x = 175,463,561.76

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.