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Finding the Third Proportional to 2,583,952,401 and 5,668,163,553

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Solution

The third proportional to 2,583,952,401 and 5,668,163,553 is: 12,433,695,779.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,583,952,401 : 5,668,163,553 = 5,668,163,553 : x
  2. Step 2: Convert to fraction form
    2,583,952,401/5,668,163,553 = 5,668,163,553/x
  3. Step 3: Cross multiply
    2,583,952,401x = 5,668,163,553 × 5,668,163,553
  4. Step 4: Simplify right side
    2,583,952,401x = 32,128,078,063,557,582,848
  5. Step 5: Solve for x
    x = 32,128,078,063,557,582,848/2,583,952,401
  6. Step 6: Final answer
    x = 12,433,695,779.82

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.