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Finding the Third Proportional to 345,692,996.54 and 760,338,516.62

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Solution

The third proportional to 345,692,996.54 and 760,338,516.62 is: 1,672,335,470.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,692,996.54 : 760,338,516.62 = 760,338,516.62 : x
  2. Step 2: Convert to fraction form
    345,692,996.54/760,338,516.62 = 760,338,516.62/x
  3. Step 3: Cross multiply
    345,692,996.54x = 760,338,516.62 × 760,338,516.62
  4. Step 4: Simplify right side
    345,692,996.54x = 578,114,659,857,498,752
  5. Step 5: Solve for x
    x = 578,114,659,857,498,752/345,692,996.54
  6. Step 6: Final answer
    x = 1,672,335,470.02

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.