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Finding the Third Proportional to 1,802,985,078 and 3,916,343,797

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Solution

The third proportional to 1,802,985,078 and 3,916,343,797 is: 8,506,863,935.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,802,985,078 : 3,916,343,797 = 3,916,343,797 : x
  2. Step 2: Convert to fraction form
    1,802,985,078/3,916,343,797 = 3,916,343,797/x
  3. Step 3: Cross multiply
    1,802,985,078x = 3,916,343,797 × 3,916,343,797
  4. Step 4: Simplify right side
    1,802,985,078x = 15,337,748,736,300,378,112
  5. Step 5: Solve for x
    x = 15,337,748,736,300,378,112/1,802,985,078
  6. Step 6: Final answer
    x = 8,506,863,935.51

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.