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Finding the Third Proportional to 647,674,560 and 947,221,120

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Solution

The third proportional to 647,674,560 and 947,221,120 is: 1,385,306,611.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,674,560 : 947,221,120 = 947,221,120 : x
  2. Step 2: Convert to fraction form
    647,674,560/947,221,120 = 947,221,120/x
  3. Step 3: Cross multiply
    647,674,560x = 947,221,120 × 947,221,120
  4. Step 4: Simplify right side
    647,674,560x = 897,227,850,174,054,400
  5. Step 5: Solve for x
    x = 897,227,850,174,054,400/647,674,560
  6. Step 6: Final answer
    x = 1,385,306,611.66

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.