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Finding the Third Proportional to 2,346,891,734 and 4,973,586,772

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Solution

The third proportional to 2,346,891,734 and 4,973,586,772 is: 10,540,139,121.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,346,891,734 : 4,973,586,772 = 4,973,586,772 : x
  2. Step 2: Convert to fraction form
    2,346,891,734/4,973,586,772 = 4,973,586,772/x
  3. Step 3: Cross multiply
    2,346,891,734x = 4,973,586,772 × 4,973,586,772
  4. Step 4: Simplify right side
    2,346,891,734x = 24,736,565,378,613,379,072
  5. Step 5: Solve for x
    x = 24,736,565,378,613,379,072/2,346,891,734
  6. Step 6: Final answer
    x = 10,540,139,121.14

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.