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Finding the Third Proportional to 285,271,587,423 and 621,801,035,694

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Solution

The third proportional to 285,271,587,423 and 621,801,035,694 is: 1,355,327,852,601.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,271,587,423 : 621,801,035,694 = 621,801,035,694 : x
  2. Step 2: Convert to fraction form
    285,271,587,423/621,801,035,694 = 621,801,035,694/x
  3. Step 3: Cross multiply
    285,271,587,423x = 621,801,035,694 × 621,801,035,694
  4. Step 4: Simplify right side
    285,271,587,423x = 386,636,527,990,131,052,773,376
  5. Step 5: Solve for x
    x = 386,636,527,990,131,052,773,376/285,271,587,423
  6. Step 6: Final answer
    x = 1,355,327,852,601.13

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.