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Finding the Third Proportional to 103,635,000,472 and 159,223,724,340

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Solution

The third proportional to 103,635,000,472 and 159,223,724,340 is: 244,629,654,819.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,635,000,472 : 159,223,724,340 = 159,223,724,340 : x
  2. Step 2: Convert to fraction form
    103,635,000,472/159,223,724,340 = 159,223,724,340/x
  3. Step 3: Cross multiply
    103,635,000,472x = 159,223,724,340 × 159,223,724,340
  4. Step 4: Simplify right side
    103,635,000,472x = 25,352,194,392,700,309,471,232
  5. Step 5: Solve for x
    x = 25,352,194,392,700,309,471,232/103,635,000,472
  6. Step 6: Final answer
    x = 244,629,654,819.66

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.