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Finding the Third Proportional to 1,735,520,525 and 2,643,886,203

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Solution

The third proportional to 1,735,520,525 and 2,643,886,203 is: 4,027,687,459.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,735,520,525 : 2,643,886,203 = 2,643,886,203 : x
  2. Step 2: Convert to fraction form
    1,735,520,525/2,643,886,203 = 2,643,886,203/x
  3. Step 3: Cross multiply
    1,735,520,525x = 2,643,886,203 × 2,643,886,203
  4. Step 4: Simplify right side
    1,735,520,525x = 6,990,134,254,413,757,440
  5. Step 5: Solve for x
    x = 6,990,134,254,413,757,440/1,735,520,525
  6. Step 6: Final answer
    x = 4,027,687,459.60

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.