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Finding the Third Proportional to 745,101,660 and 1,567,418,352

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Solution

The third proportional to 745,101,660 and 1,567,418,352 is: 3,297,268,577.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    745,101,660 : 1,567,418,352 = 1,567,418,352 : x
  2. Step 2: Convert to fraction form
    745,101,660/1,567,418,352 = 1,567,418,352/x
  3. Step 3: Cross multiply
    745,101,660x = 1,567,418,352 × 1,567,418,352
  4. Step 4: Simplify right side
    745,101,660x = 2,456,800,290,186,395,648
  5. Step 5: Solve for x
    x = 2,456,800,290,186,395,648/745,101,660
  6. Step 6: Final answer
    x = 3,297,268,577.00

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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.