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Finding the Third Proportional to 547,435,064 and 1,133,674,096

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Solution

The third proportional to 547,435,064 and 1,133,674,096 is: 2,347,706,678.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,435,064 : 1,133,674,096 = 1,133,674,096 : x
  2. Step 2: Convert to fraction form
    547,435,064/1,133,674,096 = 1,133,674,096/x
  3. Step 3: Cross multiply
    547,435,064x = 1,133,674,096 × 1,133,674,096
  4. Step 4: Simplify right side
    547,435,064x = 1,285,216,955,941,417,216
  5. Step 5: Solve for x
    x = 1,285,216,955,941,417,216/547,435,064
  6. Step 6: Final answer
    x = 2,347,706,678.76

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.