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Finding the Third Proportional to 740,509,020 and 1,542,309,525

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Solution

The third proportional to 740,509,020 and 1,542,309,525 is: 3,212,275,079.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    740,509,020 : 1,542,309,525 = 1,542,309,525 : x
  2. Step 2: Convert to fraction form
    740,509,020/1,542,309,525 = 1,542,309,525/x
  3. Step 3: Cross multiply
    740,509,020x = 1,542,309,525 × 1,542,309,525
  4. Step 4: Simplify right side
    740,509,020x = 2,378,718,670,905,725,440
  5. Step 5: Solve for x
    x = 2,378,718,670,905,725,440/740,509,020
  6. Step 6: Final answer
    x = 3,212,275,079.25

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.