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Finding the Third Proportional to 37,328,513 and 77,636,812.50

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Solution

The third proportional to 37,328,513 and 77,636,812.50 is: 161,471,062.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,328,513 : 77,636,812.50 = 77,636,812.50 : x
  2. Step 2: Convert to fraction form
    37,328,513/77,636,812.50 = 77,636,812.50/x
  3. Step 3: Cross multiply
    37,328,513x = 77,636,812.50 × 77,636,812.50
  4. Step 4: Simplify right side
    37,328,513x = 6,027,474,655,160,156
  5. Step 5: Solve for x
    x = 6,027,474,655,160,156/37,328,513
  6. Step 6: Final answer
    x = 161,471,062.49

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.