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Finding the Third Proportional to 430,035,285 and 664,063,818

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Solution

The third proportional to 430,035,285 and 664,063,818 is: 1,025,452,491.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,035,285 : 664,063,818 = 664,063,818 : x
  2. Step 2: Convert to fraction form
    430,035,285/664,063,818 = 664,063,818/x
  3. Step 3: Cross multiply
    430,035,285x = 664,063,818 × 664,063,818
  4. Step 4: Simplify right side
    430,035,285x = 440,980,754,376,737,152
  5. Step 5: Solve for x
    x = 440,980,754,376,737,152/430,035,285
  6. Step 6: Final answer
    x = 1,025,452,491.36

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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.