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Finding the Third Proportional to 745,101,657 and 1,567,418,346

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Solution

The third proportional to 745,101,657 and 1,567,418,346 is: 3,297,268,565.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    745,101,657 : 1,567,418,346 = 1,567,418,346 : x
  2. Step 2: Convert to fraction form
    745,101,657/1,567,418,346 = 1,567,418,346/x
  3. Step 3: Cross multiply
    745,101,657x = 1,567,418,346 × 1,567,418,346
  4. Step 4: Simplify right side
    745,101,657x = 2,456,800,271,377,375,744
  5. Step 5: Solve for x
    x = 2,456,800,271,377,375,744/745,101,657
  6. Step 6: Final answer
    x = 3,297,268,565.03

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.