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Finding the Third Proportional to 266,330,576 and 583,574,512

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Solution

The third proportional to 266,330,576 and 583,574,512 is: 1,278,708,649.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,330,576 : 583,574,512 = 583,574,512 : x
  2. Step 2: Convert to fraction form
    266,330,576/583,574,512 = 583,574,512/x
  3. Step 3: Cross multiply
    266,330,576x = 583,574,512 × 583,574,512
  4. Step 4: Simplify right side
    266,330,576x = 340,559,211,056,038,144
  5. Step 5: Solve for x
    x = 340,559,211,056,038,144/266,330,576
  6. Step 6: Final answer
    x = 1,278,708,649.12

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.