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Finding the Third Proportional to 45,918,432,027 and 71,295,243,306

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Solution

The third proportional to 45,918,432,027 and 71,295,243,306 is: 110,696,543,711.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,918,432,027 : 71,295,243,306 = 71,295,243,306 : x
  2. Step 2: Convert to fraction form
    45,918,432,027/71,295,243,306 = 71,295,243,306/x
  3. Step 3: Cross multiply
    45,918,432,027x = 71,295,243,306 × 71,295,243,306
  4. Step 4: Simplify right side
    45,918,432,027x = 5,083,011,718,061,737,639,936
  5. Step 5: Solve for x
    x = 5,083,011,718,061,737,639,936/45,918,432,027
  6. Step 6: Final answer
    x = 110,696,543,711.97

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.