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Finding the Third Proportional to 701,153,734 and 1,499,567,660

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Solution

The third proportional to 701,153,734 and 1,499,567,660 is: 3,207,147,103.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,153,734 : 1,499,567,660 = 1,499,567,660 : x
  2. Step 2: Convert to fraction form
    701,153,734/1,499,567,660 = 1,499,567,660/x
  3. Step 3: Cross multiply
    701,153,734x = 1,499,567,660 × 1,499,567,660
  4. Step 4: Simplify right side
    701,153,734x = 2,248,703,166,917,875,712
  5. Step 5: Solve for x
    x = 2,248,703,166,917,875,712/701,153,734
  6. Step 6: Final answer
    x = 3,207,147,103.23

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.