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Finding the Third Proportional to 2,452,813,266 and 3,678,319,032

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Solution

The third proportional to 2,452,813,266 and 3,678,319,032 is: 5,516,127,578.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,452,813,266 : 3,678,319,032 = 3,678,319,032 : x
  2. Step 2: Convert to fraction form
    2,452,813,266/3,678,319,032 = 3,678,319,032/x
  3. Step 3: Cross multiply
    2,452,813,266x = 3,678,319,032 × 3,678,319,032
  4. Step 4: Simplify right side
    2,452,813,266x = 13,530,030,901,173,417,984
  5. Step 5: Solve for x
    x = 13,530,030,901,173,417,984/2,452,813,266
  6. Step 6: Final answer
    x = 5,516,127,578.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.