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Finding the Third Proportional to 332,141,102 and 713,573,012

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Solution

The third proportional to 332,141,102 and 713,573,012 is: 1,533,042,554.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,141,102 : 713,573,012 = 713,573,012 : x
  2. Step 2: Convert to fraction form
    332,141,102/713,573,012 = 713,573,012/x
  3. Step 3: Cross multiply
    332,141,102x = 713,573,012 × 713,573,012
  4. Step 4: Simplify right side
    332,141,102x = 509,186,443,454,752,128
  5. Step 5: Solve for x
    x = 509,186,443,454,752,128/332,141,102
  6. Step 6: Final answer
    x = 1,533,042,554.47

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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.