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Finding the Third Proportional to 580,168,008 and 899,662,788

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Solution

The third proportional to 580,168,008 and 899,662,788 is: 1,395,101,282.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,168,008 : 899,662,788 = 899,662,788 : x
  2. Step 2: Convert to fraction form
    580,168,008/899,662,788 = 899,662,788/x
  3. Step 3: Cross multiply
    580,168,008x = 899,662,788 × 899,662,788
  4. Step 4: Simplify right side
    580,168,008x = 809,393,132,111,932,928
  5. Step 5: Solve for x
    x = 809,393,132,111,932,928/580,168,008
  6. Step 6: Final answer
    x = 1,395,101,282.65

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.