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Finding the Third Proportional to 37,865,253 and 82,938,174

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Solution

The third proportional to 37,865,253 and 82,938,174 is: 181,663,666.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,865,253 : 82,938,174 = 82,938,174 : x
  2. Step 2: Convert to fraction form
    37,865,253/82,938,174 = 82,938,174/x
  3. Step 3: Cross multiply
    37,865,253x = 82,938,174 × 82,938,174
  4. Step 4: Simplify right side
    37,865,253x = 6,878,740,706,454,276
  5. Step 5: Solve for x
    x = 6,878,740,706,454,276/37,865,253
  6. Step 6: Final answer
    x = 181,663,666.86

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.