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Finding the Third Proportional to 1,054,054,514 and 2,289,558,580

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Solution

The third proportional to 1,054,054,514 and 2,289,558,580 is: 4,973,251,783.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054,054,514 : 2,289,558,580 = 2,289,558,580 : x
  2. Step 2: Convert to fraction form
    1,054,054,514/2,289,558,580 = 2,289,558,580/x
  3. Step 3: Cross multiply
    1,054,054,514x = 2,289,558,580 × 2,289,558,580
  4. Step 4: Simplify right side
    1,054,054,514x = 5,242,078,491,251,616,768
  5. Step 5: Solve for x
    x = 5,242,078,491,251,616,768/1,054,054,514
  6. Step 6: Final answer
    x = 4,973,251,783.12

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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.