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Finding the Third Proportional to 2,744,539,393 and 4,240,768,402

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Solution

The third proportional to 2,744,539,393 and 4,240,768,402 is: 6,552,690,293.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,744,539,393 : 4,240,768,402 = 4,240,768,402 : x
  2. Step 2: Convert to fraction form
    2,744,539,393/4,240,768,402 = 4,240,768,402/x
  3. Step 3: Cross multiply
    2,744,539,393x = 4,240,768,402 × 4,240,768,402
  4. Step 4: Simplify right side
    2,744,539,393x = 17,984,116,639,401,633,792
  5. Step 5: Solve for x
    x = 17,984,116,639,401,633,792/2,744,539,393
  6. Step 6: Final answer
    x = 6,552,690,293.05

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.