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Finding the Third Proportional to 37,683,592.50 and 81,627,513

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Solution

The third proportional to 37,683,592.50 and 81,627,513 is: 176,815,702.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,683,592.50 : 81,627,513 = 81,627,513 : x
  2. Step 2: Convert to fraction form
    37,683,592.50/81,627,513 = 81,627,513/x
  3. Step 3: Cross multiply
    37,683,592.50x = 81,627,513 × 81,627,513
  4. Step 4: Simplify right side
    37,683,592.50x = 6,663,050,878,565,169
  5. Step 5: Solve for x
    x = 6,663,050,878,565,169/37,683,592.50
  6. Step 6: Final answer
    x = 176,815,702.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.