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Finding the Third Proportional to 74,048,096 and 159,475,332

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Solution

The third proportional to 74,048,096 and 159,475,332 is: 343,457,602.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,048,096 : 159,475,332 = 159,475,332 : x
  2. Step 2: Convert to fraction form
    74,048,096/159,475,332 = 159,475,332/x
  3. Step 3: Cross multiply
    74,048,096x = 159,475,332 × 159,475,332
  4. Step 4: Simplify right side
    74,048,096x = 25,432,381,516,510,224
  5. Step 5: Solve for x
    x = 25,432,381,516,510,224/74,048,096
  6. Step 6: Final answer
    x = 343,457,602.43

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.